516226464 has 144 divisors (see below), whose sum is σ = 1592077032. Its totient is φ = 157722624.

The previous prime is 516226441. The next prime is 516226493. The reversal of 516226464 is 464622615.

516226464 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 2 + 646 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453690000 + 62536464 = 21300^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 647314 + ... + 648110.

Almost surely, 2^516226464 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 516226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796038516).

516226464 is an abundant number, since it is smaller than the sum of its proper divisors (1075850568).

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

516226464 is a wasteful number, since it uses less digits than its factorization.

516226464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

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

The square root of 516226464 is about 22720.6175972397. The cubic root of 516226464 is about 802.1952538987.

It can be divided in two parts, 5162 and 26464, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 516226464 in words is "five hundred sixteen million, two hundred twenty-six thousand, four hundred sixty-four".