900230400 has 162 divisors, whose sum is σ = 3218732790. Its totient is φ = 240046080.

The previous prime is 900230381. The next prime is 900230411. The reversal of 900230400 is 4032009.

It can be written as a sum of positive squares in 3 ways, for example, as 310323456 + 589906944 = 17616^2 + 24288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49786 + ... + 65414.

Almost surely, 2^900230400 is an apocalyptic number.

900230400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609366395).

900230400 is an abundant number, since it is smaller than the sum of its proper divisors (2318502390).

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

900230400 is a wasteful number, since it uses less digits than its factorization.

900230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15661 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 900230400 is about 30003.8397542715. The cubic root of 900230400 is about 965.5717660036.

Adding to 900230400 its reverse (4032009), we get a palindrome (904262409).

It can be divided in two parts, 900 and 230400, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 900230400 in words is "nine hundred million, two hundred thirty thousand, four hundred".