496521900 has 378 divisors, whose sum is σ = 1892704380. Its totient is φ = 112674240.

The previous prime is 496521899. The next prime is 496521901. The reversal of 496521900 is 9125694.

496521900 is a `hidden beast` number, since 49 + 6 + 521 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (496521899) and next prime (496521901).

It is a tau number, because it is divible by the number of its divisors (378).

It is a super-2 number, since 2×496521900² = 493067994359220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (496521901) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3572031 + ... + 3572169.

Almost surely, 2^496521900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496521900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946352190).

496521900 is an abundant number, since it is smaller than the sum of its proper divisors (1396182480).

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

496521900 is a wasteful number, since it uses less digits than its factorization.

496521900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 496521900 is about 22282.7713716225. The cubic root of 496521900 is about 791.8558621994.

The spelling of 496521900 in words is "four hundred ninety-six million, five hundred twenty-one thousand, nine hundred".