402256144 has 40 divisors (see below), whose sum is σ = 823608000. Its totient is φ = 189795456.

The previous prime is 402256111. The next prime is 402256171. The reversal of 402256144 is 441652204.

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, 79317 + ... + 84235.

It is an arithmetic number, because the mean of its divisors is an integer number (20590200).

Almost surely, 2^402256144 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 402256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411804000).

402256144 is an abundant number, since it is smaller than the sum of its proper divisors (421351856).

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

402256144 is a wasteful number, since it uses less digits than its factorization.

402256144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 402256144 is about 20056.3242893607. The cubic root of 402256144 is about 738.1889876184.

The spelling of 402256144 in words is "four hundred two million, two hundred fifty-six thousand, one hundred forty-four".