496632192 has 256 divisors, whose sum is σ = 1633305600. Its totient is φ = 130572288.

The previous prime is 496632137. The next prime is 496632209. The reversal of 496632192 is 291236694.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792758 + ... + 1793034.

It is an arithmetic number, because the mean of its divisors is an integer number (6380100).

Almost surely, 2^496632192 is an apocalyptic number.

496632192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496632192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816652800).

496632192 is an abundant number, since it is smaller than the sum of its proper divisors (1136673408).

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

496632192 is a wasteful number, since it uses less digits than its factorization.

496632192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 496632192 is about 22285.2460610153. The cubic root of 496632192 is about 791.9144892885.

The spelling of 496632192 in words is "four hundred ninety-six million, six hundred thirty-two thousand, one hundred ninety-two".