507974880 has 384 divisors, whose sum is σ = 1969228800. Its totient is φ = 107495424.

The previous prime is 507974839. The next prime is 507974881. The reversal of 507974880 is 88479705.

It is a super-2 number, since 2×507974880² = 516076957422028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507974881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4660266 + ... + 4660374.

It is an arithmetic number, because the mean of its divisors is an integer number (5128200).

Almost surely, 2^507974880 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 507974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984614400).

507974880 is an abundant number, since it is smaller than the sum of its proper divisors (1461253920).

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

507974880 is a wasteful number, since it uses less digits than its factorization.

507974880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 507974880 is about 22538.2980723922. The cubic root of 507974880 is about 797.8980655094.

The spelling of 507974880 in words is "five hundred seven million, nine hundred seventy-four thousand, eight hundred eighty".