507768480 has 96 divisors (see below), whose sum is σ = 1777204800. Its totient is φ = 135403776.

The previous prime is 507768463. The next prime is 507768497. The reversal of 507768480 is 84867705.

507768480 is a `hidden beast` number, since 507 + 7 + 68 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (507768463) and next prime (507768497).

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

It is a super-3 number, since 3×507768480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 54450 + ... + 63089.

It is an arithmetic number, because the mean of its divisors is an integer number (18512550).

Almost surely, 2^507768480 is an apocalyptic number.

It is an amenable number.

507768480 is an abundant number, since it is smaller than the sum of its proper divisors (1269436320).

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

507768480 is a wasteful number, since it uses less digits than its factorization.

507768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117563 (or 117549 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 507768480 is about 22533.7187343767. The cubic root of 507768480 is about 797.7899837404.

The spelling of 507768480 in words is "five hundred seven million, seven hundred sixty-eight thousand, four hundred eighty".