9002214400 has 99 divisors (see below), whose sum is σ = 22352284051. Its totient is φ = 3594813440.

The previous prime is 9002214359. The next prime is 9002214401. The reversal of 9002214400 is 44122009.

The square root of 9002214400 is 94880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 8996143104 = 2464^2 + 94848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9002214401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15180504 + ... + 15181096.

Almost surely, 2^9002214400 is an apocalyptic number.

9002214400 is the 94880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9002214400

9002214400 is an abundant number, since it is smaller than the sum of its proper divisors (13350069651).

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

9002214400 is an frugal number, since it uses more digits than its factorization.

9002214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 9002214400 is about 2080.2544067518.

Multiplying 9002214400 by its product of nonzero digits (576), we get a square (5185275494400 = 2277120²).

Adding to 9002214400 its reverse (44122009), we get a palindrome (9046336409).

The spelling of 9002214400 in words is "nine billion, two million, two hundred fourteen thousand, four hundred".