413369472 has 128 divisors (see below), whose sum is σ = 1178712000. Its totient is φ = 127954944.

The previous prime is 413369471. The next prime is 413369483. The reversal of 413369472 is 274963314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 413369472.

It is not an unprimeable number, because it can be changed into a prime (413369471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386154 + ... + 387222.

Almost surely, 2^413369472 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 413369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589356000).

413369472 is an abundant number, since it is smaller than the sum of its proper divisors (765342528).

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

413369472 is a wasteful number, since it uses less digits than its factorization.

413369472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 413369472 is about 20331.4896650491. The cubic root of 413369472 is about 744.9254295285.

The spelling of 413369472 in words is "four hundred thirteen million, three hundred sixty-nine thousand, four hundred seventy-two".