496469606400 has 1224 divisors, whose sum is σ = 1952286816480. Its totient is φ = 124853944320.

The previous prime is 496469606387. The next prime is 496469606407. The reversal of 496469606400 is 4606964694.

496469606400 is a `hidden beast` number, since 496 + 4 + 6 + 96 + 0 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496469606407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11545804779 + ... + 11545804821.

Almost surely, 2^496469606400 is an apocalyptic number.

496469606400 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 496469606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976143408240).

496469606400 is an abundant number, since it is smaller than the sum of its proper divisors (1455817210080).

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

496469606400 is an frugal number, since it uses more digits than its factorization.

496469606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 496469606400 in words is "four hundred ninety-six billion, four hundred sixty-nine million, six hundred six thousand, four hundred".