901200400 has 135 divisors (see below), whose sum is σ = 2314377261. Its totient is φ = 337184640.

The previous prime is 901200389. The next prime is 901200401. The reversal of 901200400 is 4002109.

The square root of 901200400 is 30020.

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

901200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 324432144 + 576768256 = 18012^2 + 24016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (901200401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11407561 + ... + 11407639.

Almost surely, 2^901200400 is an apocalyptic number.

901200400 is the 30020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901200400

901200400 is an abundant number, since it is smaller than the sum of its proper divisors (1413176861).

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

901200400 is a wasteful number, since it uses less digits than its factorization.

901200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 901200400 is about 965.9184433344.

Multiplying 901200400 by its sum of digits (16), we get a square (14419206400 = 120080²).

901200400 divided by its sum of digits (16) gives a square (56325025 = 7505²).

Adding to 901200400 its reverse (4002109), we get a palindrome (905202509).

The spelling of 901200400 in words is "nine hundred one million, two hundred thousand, four hundred".