402151320 has 192 divisors, whose sum is σ = 1444547520. Its totient is φ = 96509952.

The previous prime is 402151319. The next prime is 402151349. The reversal of 402151320 is 23151204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402151293 and 402151302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139332 + ... + 142188.

It is an arithmetic number, because the mean of its divisors is an integer number (7523685).

Almost surely, 2^402151320 is an apocalyptic number.

402151320 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 402151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722273760).

402151320 is an abundant number, since it is smaller than the sum of its proper divisors (1042396200).

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

402151320 is a wasteful number, since it uses less digits than its factorization.

402151320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 402151320 is about 20053.7108785382. The cubic root of 402151320 is about 738.1248604480.

The spelling of 402151320 in words is "four hundred two million, one hundred fifty-one thousand, three hundred twenty".