320153420 has 48 divisors (see below), whose sum is σ = 725004000. Its totient is φ = 118356480.

The previous prime is 320153377. The next prime is 320153441. The reversal of 320153420 is 24351023.

It is a happy number.

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 = 320153392 and 320153401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5306 + ... + 25854.

It is an arithmetic number, because the mean of its divisors is an integer number (15104250).

Almost surely, 2^320153420 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 320153420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362502000).

320153420 is an abundant number, since it is smaller than the sum of its proper divisors (404850580).

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

320153420 is a wasteful number, since it uses less digits than its factorization.

320153420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20618 (or 20616 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 320153420 is about 17892.8315255020. The cubic root of 320153420 is about 684.0996714186.

The spelling of 320153420 in words is "three hundred twenty million, one hundred fifty-three thousand, four hundred twenty".