513938460 has 144 divisors (see below), whose sum is σ = 1728276480. Its totient is φ = 113662080.

The previous prime is 513938431. The next prime is 513938483. The reversal of 513938460 is 64839315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88321 + ... + 93959.

It is an arithmetic number, because the mean of its divisors is an integer number (12001920).

Almost surely, 2^513938460 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 513938460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864138240).

513938460 is an abundant number, since it is smaller than the sum of its proper divisors (1214338020).

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

513938460 is a wasteful number, since it uses less digits than its factorization.

513938460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 513938460 is about 22670.2108503648. The cubic root of 513938460 is about 801.0083431046.

The spelling of 513938460 in words is "five hundred thirteen million, nine hundred thirty-eight thousand, four hundred sixty".