507407120 has 80 divisors (see below), whose sum is σ = 1290399552. Its totient is φ = 184020480.

The previous prime is 507407119. The next prime is 507407123. The reversal of 507407120 is 21704705.

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

It is a super-4 number, since 4×507407120⁴ (a number of 36 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 507407120.

It is not an unprimeable number, because it can be changed into a prime (507407123) 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, 574199 + ... + 575081.

Almost surely, 2^507407120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645199776).

507407120 is an abundant number, since it is smaller than the sum of its proper divisors (782992432).

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

507407120 is a wasteful number, since it uses less digits than its factorization.

507407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 507407120 is about 22525.6991012488. The cubic root of 507407120 is about 797.6006863111.

The spelling of 507407120 in words is "five hundred seven million, four hundred seven thousand, one hundred twenty".