415525400 has 48 divisors (see below), whose sum is σ = 970250400. Its totient is φ = 165495680.

The previous prime is 415525393. The next prime is 415525403. The reversal of 415525400 is 4525514.

It is a super-2 number, since 2×415525400² = 345322716090320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 415525400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415525403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43454 + ... + 52146.

It is an arithmetic number, because the mean of its divisors is an integer number (20213550).

Almost surely, 2^415525400 is an apocalyptic number.

415525400 is a gapful number since it is divisible by the number (40) 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 415525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485125200).

415525400 is an abundant number, since it is smaller than the sum of its proper divisors (554725000).

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

415525400 is a wasteful number, since it uses less digits than its factorization.

415525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 415525400 is about 20384.4401443846. The cubic root of 415525400 is about 746.2182371512.

The spelling of 415525400 in words is "four hundred fifteen million, five hundred twenty-five thousand, four hundred".