559138464 has 240 divisors, whose sum is σ = 1751948352. Its totient is φ = 174569472.

The previous prime is 559138427. The next prime is 559138471. The reversal of 559138464 is 464831955.

559138464 is a `hidden beast` number, since 5 + 59 + 138 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4948072 + ... + 4948184.

Almost surely, 2^559138464 is an apocalyptic number.

559138464 is a gapful number since it is divisible by the number (54) 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 559138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875974176).

559138464 is an abundant number, since it is smaller than the sum of its proper divisors (1192809888).

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

559138464 is a wasteful number, since it uses less digits than its factorization.

559138464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 559138464 is about 23646.1088553698. The cubic root of 559138464 is about 823.8341482899.

The spelling of 559138464 in words is "five hundred fifty-nine million, one hundred thirty-eight thousand, four hundred sixty-four".