413764 has 24 divisors (see below), whose sum is σ = 797720. Its totient is φ = 186624.

The previous prime is 413759. The next prime is 413779. The reversal of 413764 is 467314.

413764 = T₃₂ + T₃₃ + ... + T₁₃₅.

It can be written as a sum of positive squares in 4 ways, for example, as 44100 + 369664 = 210^2 + 608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3742 + ... + 3850.

2⁴¹³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

413764 is a deficient number, since it is larger than the sum of its proper divisors (383956).

413764 is a wasteful number, since it uses less digits than its factorization.

413764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 413764 is about 643.2448989304. The cubic root of 413764 is about 74.5162344693.

The spelling of 413764 in words is "four hundred thirteen thousand, seven hundred sixty-four".