402145920 has 288 divisors, whose sum is σ = 1529023860. Its totient is φ = 97320960.

The previous prime is 402145903. The next prime is 402145937. The reversal of 402145920 is 29541204.

It is an interprime number because it is at equal distance from previous prime (402145903) and next prime (402145937).

It can be written as a sum of positive squares in 2 ways, for example, as 371409984 + 30735936 = 19272^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696672 + ... + 697248.

Almost surely, 2^402145920 is an apocalyptic number.

402145920 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 402145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764511930).

402145920 is an abundant number, since it is smaller than the sum of its proper divisors (1126877940).

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

402145920 is a wasteful number, since it uses less digits than its factorization.

402145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 402145920 is about 20053.5762396636. The cubic root of 402145920 is about 738.1215566401.

The spelling of 402145920 in words is "four hundred two million, one hundred forty-five thousand, nine hundred twenty".