496372896 has 144 divisors (see below), whose sum is σ = 1461777408. Its totient is φ = 159667200.

The previous prime is 496372873. The next prime is 496372897. The reversal of 496372896 is 698273694.

It is a happy number.

496372896 is a `hidden beast` number, since 496 + 3 + 72 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (3919104) is a multiple of the sum of its prime divisors (504).

It is not an unprimeable number, because it can be changed into a prime (496372897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1499451 + ... + 1499781.

It is an arithmetic number, because the mean of its divisors is an integer number (10151232).

Almost surely, 2^496372896 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 496372896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730888704).

496372896 is an abundant number, since it is smaller than the sum of its proper divisors (965404512).

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

496372896 is a wasteful number, since it uses less digits than its factorization.

496372896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 496372896 is about 22279.4276407631. The cubic root of 496372896 is about 791.7766434744.

The spelling of 496372896 in words is "four hundred ninety-six million, three hundred seventy-two thousand, eight hundred ninety-six".