413209974 has 64 divisors (see below), whose sum is σ = 879943680. Its totient is φ = 129168000.

The previous prime is 413209961. The next prime is 413209987. The reversal of 413209974 is 479902314.

It is an interprime number because it is at equal distance from previous prime (413209961) and next prime (413209987).

It is a super-2 number, since 2×413209974² = 341484965226161352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 896104 + ... + 896564.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^413209974 is an apocalyptic number.

413209974 is an abundant number, since it is smaller than the sum of its proper divisors (466733706).

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

413209974 is a wasteful number, since it uses less digits than its factorization.

413209974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 413209974 is about 20327.5668489861. The cubic root of 413209974 is about 744.8296077444.

The spelling of 413209974 in words is "four hundred thirteen million, two hundred nine thousand, nine hundred seventy-four".