527409792 has 480 divisors, whose sum is σ = 1987555680. Its totient is φ = 135862272.

The previous prime is 527409781. The next prime is 527409793. The reversal of 527409792 is 297904725.

It is a super-2 number, since 2×527409792² = 556322177394966528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527409793) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12265323 + ... + 12265365.

It is an arithmetic number, because the mean of its divisors is an integer number (4140741).

Almost surely, 2^527409792 is an apocalyptic number.

527409792 is a gapful number since it is divisible by the number (52) 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 527409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993777840).

527409792 is an abundant number, since it is smaller than the sum of its proper divisors (1460145888).

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

527409792 is a wasteful number, since it uses less digits than its factorization.

527409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 527409792 is about 22965.4042420333. The cubic root of 527409792 is about 807.9467337366.

The spelling of 527409792 in words is "five hundred twenty-seven million, four hundred nine thousand, seven hundred ninety-two".