402120320 has 64 divisors (see below), whose sum is σ = 1098662400. Its totient is φ = 137868288.

The previous prime is 402120319. The next prime is 402120337. The reversal of 402120320 is 23021204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 402120295 and 402120304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40400 + ... + 49359.

It is an arithmetic number, because the mean of its divisors is an integer number (17166600).

Almost surely, 2^402120320 is an apocalyptic number.

402120320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402120320 is an abundant number, since it is smaller than the sum of its proper divisors (696542080).

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

402120320 is an equidigital number, since it uses as much as digits as its factorization.

402120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89785 (or 89773 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 402120320 is about 20052.9379393644. The cubic root of 402120320 is about 738.1058937411.

Adding to 402120320 its reverse (23021204), we get a palindrome (425141524).

The spelling of 402120320 in words is "four hundred two million, one hundred twenty thousand, three hundred twenty".