496309032 has 128 divisors (see below), whose sum is σ = 1470096000. Its totient is φ = 156624192.

The previous prime is 496309031. The next prime is 496309063. The reversal of 496309032 is 230903694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (496309031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331678 + ... + 333170.

It is an arithmetic number, because the mean of its divisors is an integer number (11485125).

Almost surely, 2^496309032 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 496309032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735048000).

496309032 is an abundant number, since it is smaller than the sum of its proper divisors (973786968).

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

496309032 is a wasteful number, since it uses less digits than its factorization.

496309032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 496309032 is about 22277.9943441953. The cubic root of 496309032 is about 791.7426850043.

The spelling of 496309032 in words is "four hundred ninety-six million, three hundred nine thousand, thirty-two".