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494246880 = 25335191599
BaseRepresentation
bin11101011101011…
…001101111100000
31021110000100021000
4131131121233200
52003011400010
6121013232000
715151013001
oct3535315740
91243010230
10494246880
11233a97aa6
12119632600
137b51c59a
14498d91a8
152d5cd7c0
hex1d759be0

494246880 has 192 divisors, whose sum is σ = 1741824000. Its totient is φ = 130890240.

The previous prime is 494246869. The next prime is 494246891. The reversal of 494246880 is 88642494.

494246880 is a `hidden beast` number, since 494 + 24 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (494246869) and next prime (494246891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824821 + ... + 825419.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2494246880 is an apocalyptic number.

494246880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

494246880 is an abundant number, since it is smaller than the sum of its proper divisors (1247577120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

494246880 is a wasteful number, since it uses less digits than its factorization.

494246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 494246880 is about 22231.6639053401. The cubic root of 494246880 is about 790.6446055432.

The spelling of 494246880 in words is "four hundred ninety-four million, two hundred forty-six thousand, eight hundred eighty".