496964600 has 96 divisors (see below), whose sum is σ = 1265878800. Its totient is φ = 179942400.

The previous prime is 496964593. The next prime is 496964639. The reversal of 496964600 is 6469694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873116 + ... + 873684.

Almost surely, 2^496964600 is an apocalyptic number.

496964600 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 496964600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632939400).

496964600 is an abundant number, since it is smaller than the sum of its proper divisors (768914200).

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

496964600 is a wasteful number, since it uses less digits than its factorization.

496964600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 496964600 is about 22292.7028419615. The cubic root of 496964600 is about 792.0911324239.

The spelling of 496964600 in words is "four hundred ninety-six million, nine hundred sixty-four thousand, six hundred".