402132096 has 96 divisors (see below), whose sum is σ = 1197179100. Its totient is φ = 129411072.

The previous prime is 402132091. The next prime is 402132103. The reversal of 402132096 is 690231204.

It can be written as a sum of positive squares in 2 ways, for example, as 358572096 + 43560000 = 18936^2 + 6600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (402132091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27390 + ... + 39426.

Almost surely, 2^402132096 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 402132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598589550).

402132096 is an abundant number, since it is smaller than the sum of its proper divisors (795047004).

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

402132096 is a wasteful number, since it uses less digits than its factorization.

402132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12086 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 402132096 is about 20053.2315600254. The cubic root of 402132096 is about 738.1130987572.

The spelling of 402132096 in words is "four hundred two million, one hundred thirty-two thousand, ninety-six".