496364800 has 54 divisors (see below), whose sum is σ = 1228596278. Its totient is φ = 198543360.

The previous prime is 496364767. The next prime is 496364801. The reversal of 496364800 is 8463694.

It can be written as a sum of positive squares in 3 ways, for example, as 2458624 + 493906176 = 1568^2 + 22224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496364801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32379 + ... + 45178.

Almost surely, 2^496364800 is an apocalyptic number.

496364800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496364800 is an abundant number, since it is smaller than the sum of its proper divisors (732231478).

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

496364800 is an equidigital number, since it uses as much as digits as its factorization.

496364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77583 (or 77564 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 496364800 is about 22279.2459477425. The cubic root of 496364800 is about 791.7723387412.

The spelling of 496364800 in words is "four hundred ninety-six million, three hundred sixty-four thousand, eight hundred".