496107632 has 80 divisors (see below), whose sum is σ = 1062789120. Its totient is φ = 223430400.

The previous prime is 496107587. The next prime is 496107671. The reversal of 496107632 is 236701694.

It is a super-2 number, since 2×496107632² = 492245565057294848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574433 + ... + 575295.

It is an arithmetic number, because the mean of its divisors is an integer number (13284864).

Almost surely, 2^496107632 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 496107632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531394560).

496107632 is an abundant number, since it is smaller than the sum of its proper divisors (566681488).

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

496107632 is a wasteful number, since it uses less digits than its factorization.

496107632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 496107632 is about 22273.4737299775. The cubic root of 496107632 is about 791.6355752936.

The spelling of 496107632 in words is "four hundred ninety-six million, one hundred seven thousand, six hundred thirty-two".