527949504 has 126 divisors (see below), whose sum is σ = 1597738740. Its totient is φ = 166655232.

The previous prime is 527949503. The next prime is 527949509. The reversal of 527949504 is 405949725.

527949504 is a `hidden beast` number, since 52 + 7 + 94 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 527949504.

It is not an unprimeable number, because it can be changed into a prime (527949503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 206667 + ... + 209205.

Almost surely, 2^527949504 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 527949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798869370).

527949504 is an abundant number, since it is smaller than the sum of its proper divisors (1069789236).

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

527949504 is a wasteful number, since it uses less digits than its factorization.

527949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 527949504 is about 22977.1517817157. The cubic root of 527949504 is about 808.2222373363. Note that the first 4 decimals are identical.

The spelling of 527949504 in words is "five hundred twenty-seven million, nine hundred forty-nine thousand, five hundred four".