402013320 has 128 divisors (see below), whose sum is σ = 1270598400. Its totient is φ = 101556224.

The previous prime is 402013319. The next prime is 402013349. The reversal of 402013320 is 23310204.

It is a super-2 number, since 2×402013320² = 323229418914844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 402013320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311236 + ... + 312524.

It is an arithmetic number, because the mean of its divisors is an integer number (9926550).

Almost surely, 2^402013320 is an apocalyptic number.

402013320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635299200).

402013320 is an abundant number, since it is smaller than the sum of its proper divisors (868585080).

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

402013320 is a wasteful number, since it uses less digits than its factorization.

402013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 402013320 is about 20050.2698236208. The cubic root of 402013320 is about 738.0404205210.

Adding to 402013320 its reverse (23310204), we get a palindrome (425323524).

The spelling of 402013320 in words is "four hundred two million, thirteen thousand, three hundred twenty".