507328416 has 288 divisors, whose sum is σ = 1774700928. Its totient is φ = 134184960.

The previous prime is 507328397. The next prime is 507328447. The reversal of 507328416 is 614823705.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3872671 + ... + 3872801.

It is an arithmetic number, because the mean of its divisors is an integer number (6162156).

Almost surely, 2^507328416 is an apocalyptic number.

507328416 is a gapful number since it is divisible by the number (56) 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 507328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887350464).

507328416 is an abundant number, since it is smaller than the sum of its proper divisors (1267372512).

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

507328416 is a wasteful number, since it uses less digits than its factorization.

507328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 507328416 is about 22523.9520510944. The cubic root of 507328416 is about 797.5594455218.

It can be divided in two parts, 5073 and 28416, that added together give a square (33489 = 183²).

The spelling of 507328416 in words is "five hundred seven million, three hundred twenty-eight thousand, four hundred sixteen".