402364144 has 80 divisors (see below), whose sum is σ = 969160192. Its totient is φ = 157572864.

The previous prime is 402364141. The next prime is 402364169. The reversal of 402364144 is 441463204.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402364141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148627 + ... + 151309.

Almost surely, 2^402364144 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 402364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484580096).

402364144 is an abundant number, since it is smaller than the sum of its proper divisors (566796048).

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

402364144 is a wasteful number, since it uses less digits than its factorization.

402364144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 402364144 is about 20059.0165262408. The cubic root of 402364144 is about 738.2550460888.

The spelling of 402364144 in words is "four hundred two million, three hundred sixty-four thousand, one hundred forty-four".