507150400 has 63 divisors (see below), whose sum is σ = 1250127421. Its totient is φ = 202499840.

The previous prime is 507150389. The next prime is 507150407. The reversal of 507150400 is 4051705.

The square root of 507150400 is 22520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 182574144 + 324576256 = 13512^2 + 18016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507150407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 900519 + ... + 901081.

Almost surely, 2^507150400 is an apocalyptic number.

507150400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

507150400 is the 22520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507150400

507150400 is an abundant number, since it is smaller than the sum of its proper divisors (742977021).

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

507150400 is an frugal number, since it uses more digits than its factorization.

507150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The cubic root of 507150400 is about 797.4661496427.

The spelling of 507150400 in words is "five hundred seven million, one hundred fifty thousand, four hundred".