507468800 has 132 divisors (see below), whose sum is σ = 1289953896. Its totient is φ = 197836800.

The previous prime is 507468779. The next prime is 507468811. The reversal of 507468800 is 8864705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100570 + ... + 1101030.

It is an arithmetic number, because the mean of its divisors is an integer number (9772378).

Almost surely, 2^507468800 is an apocalyptic number.

507468800 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 507468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644976948).

507468800 is an abundant number, since it is smaller than the sum of its proper divisors (782485096).

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

507468800 is a wasteful number, since it uses less digits than its factorization.

507468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 507468800 is about 22527.0681625461. The cubic root of 507468800 is about 797.6330035669.

The spelling of 507468800 in words is "five hundred seven million, four hundred sixty-eight thousand, eight hundred".