496779920 has 80 divisors (see below), whose sum is σ = 1421575680. Its totient is φ = 157220352.

The previous prime is 496779919. The next prime is 496779923. The reversal of 496779920 is 29977694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (496779923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26840 + ... + 41399.

It is an arithmetic number, because the mean of its divisors is an integer number (17769696).

Almost surely, 2^496779920 is an apocalyptic number.

496779920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496779920 is an abundant number, since it is smaller than the sum of its proper divisors (924795760).

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

496779920 is a wasteful number, since it uses less digits than its factorization.

496779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68272 (or 68266 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 53.

The square root of 496779920 is about 22288.5602944650. The cubic root of 496779920 is about 791.9930023529.

The spelling of 496779920 in words is "four hundred ninety-six million, seven hundred seventy-nine thousand, nine hundred twenty".