507464000 has 112 divisors (see below), whose sum is σ = 1266779280. Its totient is φ = 201369600.

The previous prime is 507463993. The next prime is 507464047. The reversal of 507464000 is 464705.

It can be written as a sum of positive squares in 8 ways, for example, as 127057984 + 380406016 = 11272^2 + 19504^2 .

It is a super-2 number, since 2×507464000² = 515039422592000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831862 + ... + 1832138.

Almost surely, 2^507464000 is an apocalyptic number.

507464000 is a gapful number since it is divisible by the number (50) 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 507464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633389640).

507464000 is an abundant number, since it is smaller than the sum of its proper divisors (759315280).

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

507464000 is a wasteful number, since it uses less digits than its factorization.

507464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 507464000 is about 22526.9616237965. The cubic root of 507464000 is about 797.6304886993.

The spelling of 507464000 in words is "five hundred seven million, four hundred sixty-four thousand".