413764025 has 24 divisors (see below), whose sum is σ = 533637720. Its totient is φ = 317864960.

The previous prime is 413764019. The next prime is 413764027. The reversal of 413764025 is 520467314.

It can be written as a sum of positive squares in 12 ways, for example, as 69438889 + 344325136 = 8333^2 + 18556^2 .

It is not a de Polignac number, because 413764025 - 2⁸ = 413763769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413763982 and 413764000.

It is not an unprimeable number, because it can be changed into a prime (413764027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141377 + ... + 144273.

It is an arithmetic number, because the mean of its divisors is an integer number (22234905).

Almost surely, 2^413764025 is an apocalyptic number.

It is an amenable number.

413764025 is a deficient number, since it is larger than the sum of its proper divisors (119873695).

413764025 is a wasteful number, since it uses less digits than its factorization.

413764025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 413764025 is about 20341.1903535658. The cubic root of 413764025 is about 745.1623597013.

The spelling of 413764025 in words is "four hundred thirteen million, seven hundred sixty-four thousand, twenty-five".