527408952 has 384 divisors, whose sum is σ = 1796567040. Its totient is φ = 127733760.

The previous prime is 527408939. The next prime is 527409017. The reversal of 527408952 is 259804725.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14254278 + ... + 14254314.

It is an arithmetic number, because the mean of its divisors is an integer number (4678560).

Almost surely, 2^527408952 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 527408952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898283520).

527408952 is an abundant number, since it is smaller than the sum of its proper divisors (1269158088).

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

527408952 is a wasteful number, since it uses less digits than its factorization.

527408952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 527408952 is about 22965.3859536477. The cubic root of 527408952 is about 807.9463048003.

The spelling of 527408952 in words is "five hundred twenty-seven million, four hundred eight thousand, nine hundred fifty-two".