402333984 has 144 divisors (see below), whose sum is σ = 1262681784. Its totient is φ = 120729600.

The previous prime is 402333983. The next prime is 402333991. The reversal of 402333984 is 489333204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 237776400 + 164557584 = 15420^2 + 12828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402333983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152194 + ... + 154814.

Almost surely, 2^402333984 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 402333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631340892).

402333984 is an abundant number, since it is smaller than the sum of its proper divisors (860347800).

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

402333984 is a wasteful number, since it uses less digits than its factorization.

402333984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 402333984 is about 20058.2647305294. The cubic root of 402333984 is about 738.2365998390.

The spelling of 402333984 in words is "four hundred two million, three hundred thirty-three thousand, nine hundred eighty-four".