402083016 has 128 divisors (see below), whose sum is σ = 1094860800. Its totient is φ = 122653440.

The previous prime is 402082973. The next prime is 402083047. The reversal of 402083016 is 610380204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3069271 + ... + 3069401.

It is an arithmetic number, because the mean of its divisors is an integer number (8553600).

Almost surely, 2^402083016 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 402083016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547430400).

402083016 is an abundant number, since it is smaller than the sum of its proper divisors (692777784).

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

402083016 is a wasteful number, since it uses less digits than its factorization.

402083016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 402083016 is about 20052.0077797711. The cubic root of 402083016 is about 738.0830687702.

The spelling of 402083016 in words is "four hundred two million, eighty-three thousand, sixteen".