507652416 has 84 divisors (see below), whose sum is σ = 1464291712. Its totient is φ = 168148224.

The previous prime is 507652403. The next prime is 507652417. The reversal of 507652416 is 614256705.

It is a happy number.

507652416 is a `hidden beast` number, since 50 + 76 + 524 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507652417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91185 + ... + 96591.

Almost surely, 2^507652416 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 507652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732145856).

507652416 is an abundant number, since it is smaller than the sum of its proper divisors (956639296).

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

507652416 is a wasteful number, since it uses less digits than its factorization.

507652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 507652416 is about 22531.1432466264. The cubic root of 507652416 is about 797.7291937307.

The spelling of 507652416 in words is "five hundred seven million, six hundred fifty-two thousand, four hundred sixteen".