538314624 has 96 divisors (see below), whose sum is σ = 1553806800. Its totient is φ = 178888704.

The previous prime is 538314619. The next prime is 538314653. The reversal of 538314624 is 426413835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×538314624² = 579565268824522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 578992 + ... + 579920.

Almost surely, 2^538314624 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 538314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776903400).

538314624 is an abundant number, since it is smaller than the sum of its proper divisors (1015492176).

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

538314624 is a wasteful number, since it uses less digits than its factorization.

538314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1437 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 538314624 is about 23201.6082201213. The cubic root of 538314624 is about 813.4772142362.

The spelling of 538314624 in words is "five hundred thirty-eight million, three hundred fourteen thousand, six hundred twenty-four".