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494976000 = 2103531289
BaseRepresentation
bin11101100000001…
…011110000000000
31021111101101102110
4131200023300000
52003203213000
6121041015320
715160140501
oct3540136000
91244341373
10494976000
11234445882
12119924540
137b71640c
1449a48ba8
152d6c4850
hex1d80bc00

494976000 has 176 divisors, whose sum is σ = 1647753120. Its totient is φ = 131891200.

The previous prime is 494975983. The next prime is 494976007. The reversal of 494976000 is 679494.

It is a self number, because there is not a number n which added to its sum of digits gives 494976000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494976007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383356 + ... + 384644.

Almost surely, 2494976000 is an apocalyptic number.

494976000 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 494976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823876560).

494976000 is an abundant number, since it is smaller than the sum of its proper divisors (1152777120).

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

494976000 is a wasteful number, since it uses less digits than its factorization.

494976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 494976000 is about 22248.0560948592. The cubic root of 494976000 is about 791.0332045582.

The spelling of 494976000 in words is "four hundred ninety-four million, nine hundred seventy-six thousand".