413004966 has 32 divisors (see below), whose sum is σ = 901929600. Its totient is φ = 125038080.

The previous prime is 413004947. The next prime is 413004973. The reversal of 413004966 is 669400314.

It is a super-2 number, since 2×413004966² = 341146203881322312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94150 + ... + 98438.

It is an arithmetic number, because the mean of its divisors is an integer number (28185300).

Almost surely, 2^413004966 is an apocalyptic number.

413004966 is an abundant number, since it is smaller than the sum of its proper divisors (488924634).

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

413004966 is a wasteful number, since it uses less digits than its factorization.

413004966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 413004966 is about 20322.5236129768. The cubic root of 413004966 is about 744.7064086468.

The spelling of 413004966 in words is "four hundred thirteen million, four thousand, nine hundred sixty-six".