496010880 has 96 divisors (see below), whose sum is σ = 1712807460. Its totient is φ = 132268032.

The previous prime is 496010873. The next prime is 496010897. The reversal of 496010880 is 88010694.

It is a happy number.

496010880 is a `hidden beast` number, since 49 + 601 + 0 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 397763136 + 98247744 = 19944^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37297 + ... + 48816.

Almost surely, 2^496010880 is an apocalyptic number.

496010880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496010880 is an abundant number, since it is smaller than the sum of its proper divisors (1216796580).

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

496010880 is a wasteful number, since it uses less digits than its factorization.

496010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86138 (or 86123 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 496010880 is about 22271.3017131914. The cubic root of 496010880 is about 791.5841097783.

The spelling of 496010880 in words is "four hundred ninety-six million, ten thousand, eight hundred eighty".