496969632 has 72 divisors (see below), whose sum is σ = 1426553856. Its totient is φ = 164098176.

The previous prime is 496969621. The next prime is 496969637. The reversal of 496969632 is 236969694.

496969632 is a `hidden beast` number, since 496 + 96 + 9 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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

It is not an unprimeable number, because it can be changed into a prime (496969637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22753 + ... + 38879.

It is an arithmetic number, because the mean of its divisors is an integer number (19813248).

Almost surely, 2^496969632 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 496969632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713276928).

496969632 is an abundant number, since it is smaller than the sum of its proper divisors (929584224).

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

496969632 is a wasteful number, since it uses less digits than its factorization.

496969632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16250 (or 16239 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 496969632 is about 22292.8157037194. The cubic root of 496969632 is about 792.0938058465.

The spelling of 496969632 in words is "four hundred ninety-six million, nine hundred sixty-nine thousand, six hundred thirty-two".