402252320 has 96 divisors (see below), whose sum is σ = 979776000. Its totient is φ = 155984896.

The previous prime is 402252259. The next prime is 402252341. The reversal of 402252320 is 23252204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 402252292 and 402252301.

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, 1120301 + ... + 1120659.

It is an arithmetic number, because the mean of its divisors is an integer number (10206000).

Almost surely, 2^402252320 is an apocalyptic number.

402252320 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 402252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

402252320 is an abundant number, since it is smaller than the sum of its proper divisors (577523680).

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

402252320 is a wasteful number, since it uses less digits than its factorization.

402252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 402252320 is about 20056.2289576082. The cubic root of 402252320 is about 738.1866484425.

The spelling of 402252320 in words is "four hundred two million, two hundred fifty-two thousand, three hundred twenty".