402738336 has 432 divisors, whose sum is σ = 1561577472. Its totient is φ = 95800320.

The previous prime is 402738317. The next prime is 402738337. The reversal of 402738336 is 633837204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 402738336.

It is not an unprimeable number, because it can be changed into a prime (402738337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3171105 + ... + 3171231.

Almost surely, 2^402738336 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 402738336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780788736).

402738336 is an abundant number, since it is smaller than the sum of its proper divisors (1158839136).

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

402738336 is a wasteful number, since it uses less digits than its factorization.

402738336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 402738336 is about 20068.3416355214. The cubic root of 402738336 is about 738.4838301764.

The spelling of 402738336 in words is "four hundred two million, seven hundred thirty-eight thousand, three hundred thirty-six".