413265384 has 96 divisors (see below), whose sum is σ = 1285240320. Its totient is φ = 117514368.

The previous prime is 413265379. The next prime is 413265401. The reversal of 413265384 is 483562314.

413265384 is a `hidden beast` number, since 4 + 13 + 265 + 384 = 666.

It is a super-2 number, since 2×413265384² = 341576555225334912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110554 + ... + 114230.

It is an arithmetic number, because the mean of its divisors is an integer number (13387920).

Almost surely, 2^413265384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413265384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642620160).

413265384 is an abundant number, since it is smaller than the sum of its proper divisors (871974936).

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

413265384 is a wasteful number, since it uses less digits than its factorization.

413265384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3912 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 413265384 is about 20328.9297308048. The cubic root of 413265384 is about 744.8628992641.

The spelling of 413265384 in words is "four hundred thirteen million, two hundred sixty-five thousand, three hundred eighty-four".