507360672 has 336 divisors, whose sum is σ = 1850929920. Its totient is φ = 133249536.

The previous prime is 507360653. The next prime is 507360709. The reversal of 507360672 is 276063705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 55 ways as a sum of consecutive naturals, for example, 2122729 + ... + 2122967.

It is an arithmetic number, because the mean of its divisors is an integer number (5508720).

Almost surely, 2^507360672 is an apocalyptic number.

507360672 is a gapful number since it is divisible by the number (52) 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 507360672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925464960).

507360672 is an abundant number, since it is smaller than the sum of its proper divisors (1343569248).

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

507360672 is a wasteful number, since it uses less digits than its factorization.

507360672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 507360672 is about 22524.6680774656. The cubic root of 507360672 is about 797.5763481379.

The spelling of 507360672 in words is "five hundred seven million, three hundred sixty thousand, six hundred seventy-two".