413525200 has 60 divisors (see below), whose sum is σ = 1083823488. Its totient is φ = 150371200.

The previous prime is 413525191. The next prime is 413525201. The reversal of 413525200 is 2525314.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413525201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42592 + ... + 51391.

Almost surely, 2^413525200 is an apocalyptic number.

413525200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413525200 is an abundant number, since it is smaller than the sum of its proper divisors (670298288).

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

413525200 is a wasteful number, since it uses less digits than its factorization.

413525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94012 (or 94001 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 413525200 is about 20335.3190287244. The cubic root of 413525200 is about 745.0189626271.

The spelling of 413525200 in words is "four hundred thirteen million, five hundred twenty-five thousand, two hundred".