525457920 has 320 divisors, whose sum is σ = 1911127680. Its totient is φ = 122093568.

The previous prime is 525457871. The next prime is 525457943. The reversal of 525457920 is 29754525.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×525457920² = 552212051381452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896822 + ... + 1897098.

It is an arithmetic number, because the mean of its divisors is an integer number (5972274).

Almost surely, 2^525457920 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 525457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955563840).

525457920 is an abundant number, since it is smaller than the sum of its proper divisors (1385669760).

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

525457920 is a wasteful number, since it uses less digits than its factorization.

525457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 525457920 is about 22922.8689303935. The cubic root of 525457920 is about 806.9488012798.

The spelling of 525457920 in words is "five hundred twenty-five million, four hundred fifty-seven thousand, nine hundred twenty".