507294720 has 264 divisors, whose sum is σ = 1791452520. Its totient is φ = 132710400.

The previous prime is 507294719. The next prime is 507294793. The reversal of 507294720 is 27492705.

It can be written as a sum of positive squares in 4 ways, for example, as 218566656 + 288728064 = 14784^2 + 16992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4654026 + ... + 4654134.

It is an arithmetic number, because the mean of its divisors is an integer number (6785805).

Almost surely, 2^507294720 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 507294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895726260).

507294720 is an abundant number, since it is smaller than the sum of its proper divisors (1284157800).

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

507294720 is a wasteful number, since it uses less digits than its factorization.

507294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 507294720 is about 22523.2040349503. The cubic root of 507294720 is about 797.5417875596.

The spelling of 507294720 in words is "five hundred seven million, two hundred ninety-four thousand, seven hundred twenty".