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494946000 = 24325331887
BaseRepresentation
bin11101100000000…
…100011011010000
31021111022212021100
4131200010123100
52003201233000
6121040224400
715156654153
oct3540043320
91244285240
10494946000
1123442528a
1211990b100
137b705873
1449a3bc9a
152d6baa00
hex1d8046d0

494946000 has 240 divisors, whose sum is σ = 1786457088. Its totient is φ = 127584000.

The previous prime is 494945933. The next prime is 494946013. The reversal of 494946000 is 649494.

494946000 is a `hidden beast` number, since 4 + 9 + 49 + 4 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557557 + ... + 558443.

Almost surely, 2494946000 is an apocalyptic number.

494946000 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 494946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893228544).

494946000 is an abundant number, since it is smaller than the sum of its proper divisors (1291511088).

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

494946000 is a wasteful number, since it uses less digits than its factorization.

494946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 494946000 is about 22247.3818684357. The cubic root of 494946000 is about 791.0172229917.

The spelling of 494946000 in words is "four hundred ninety-four million, nine hundred forty-six thousand".