516429504 has 84 divisors (see below), whose sum is σ = 1483522560. Its totient is φ = 171763200.

The previous prime is 516429497. The next prime is 516429523. The reversal of 516429504 is 405924615.

516429504 is a `hidden beast` number, since 5 + 1 + 642 + 9 + 5 + 0 + 4 = 666.

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 11 ways as a sum of consecutive naturals, for example, 403137 + ... + 404415.

Almost surely, 2^516429504 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 516429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741761280).

516429504 is an abundant number, since it is smaller than the sum of its proper divisors (967093056).

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

516429504 is a wasteful number, since it uses less digits than its factorization.

516429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 516429504 is about 22725.0853463744. The cubic root of 516429504 is about 802.3004121230.

The spelling of 516429504 in words is "five hundred sixteen million, four hundred twenty-nine thousand, five hundred four".