402984072 has 160 divisors (see below), whose sum is σ = 1207483200. Its totient is φ = 125193600.

The previous prime is 402984037. The next prime is 402984077. The reversal of 402984072 is 270489204.

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

It is not an unprimeable number, because it can be changed into a prime (402984077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 873922 + ... + 874382.

It is an arithmetic number, because the mean of its divisors is an integer number (7546770).

Almost surely, 2^402984072 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 402984072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603741600).

402984072 is an abundant number, since it is smaller than the sum of its proper divisors (804499128).

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

402984072 is a wasteful number, since it uses less digits than its factorization.

402984072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 402984072 is about 20074.4631808674. The cubic root of 402984072 is about 738.6339981222.

The spelling of 402984072 in words is "four hundred two million, nine hundred eighty-four thousand, seventy-two".