496849920 has 176 divisors, whose sum is σ = 1816556928. Its totient is φ = 113541120.

The previous prime is 496849919. The next prime is 496849937. The reversal of 496849920 is 29948694.

It is a happy number.

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, 105210 + ... + 109830.

Almost surely, 2^496849920 is an apocalyptic number.

496849920 is a gapful number since it is divisible by the number (40) 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 496849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908278464).

496849920 is an abundant number, since it is smaller than the sum of its proper divisors (1319707008).

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

496849920 is a wasteful number, since it uses less digits than its factorization.

496849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 496849920 is about 22290.1305514346. The cubic root of 496849920 is about 792.0301998483.

The spelling of 496849920 in words is "four hundred ninety-six million, eight hundred forty-nine thousand, nine hundred twenty".