496627680 has 96 divisors (see below), whose sum is σ = 1567641600. Its totient is φ = 132157952.

The previous prime is 496627669. The next prime is 496627699. The reversal of 496627680 is 86726694.

496627680 = T₁ + T₂ + ... + T₁₄₃₈.

496627680 is a nontrivial binomial coefficient, being equal to C(1440, 3).

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 (48).

It is a congruent number.

It is an unprimeable number.

It is the 1438-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344401 + ... + 345839.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^496627680 is an apocalyptic number.

496627680 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 496627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

496627680 is an abundant number, since it is smaller than the sum of its proper divisors (1071013920).

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

496627680 is a wasteful number, since it uses less digits than its factorization.

496627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 496627680 is about 22285.1448278893. The cubic root of 496627680 is about 791.9120910488.

The spelling of 496627680 in words is "four hundred ninety-six million, six hundred twenty-seven thousand, six hundred eighty".