507953404 has 72 divisors (see below), whose sum is σ = 1102982832. Its totient is φ = 203374080.

The previous prime is 507953351. The next prime is 507953423. The reversal of 507953404 is 404359705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522639 + ... + 523609.

It is an arithmetic number, because the mean of its divisors is an integer number (15319206).

Almost surely, 2^507953404 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 507953404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551491416).

507953404 is an abundant number, since it is smaller than the sum of its proper divisors (595029428).

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

507953404 is a wasteful number, since it uses less digits than its factorization.

507953404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 507953404 is about 22537.8216338669. The cubic root of 507953404 is about 797.8868209242.

The spelling of 507953404 in words is "five hundred seven million, nine hundred fifty-three thousand, four hundred four".