900468800 has 168 divisors, whose sum is σ = 2762829120. Its totient is φ = 280627200.

The previous prime is 900468799. The next prime is 900468839. The reversal of 900468800 is 8864009.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119546 + ... + 126854.

Almost surely, 2^900468800 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 900468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381414560).

900468800 is an abundant number, since it is smaller than the sum of its proper divisors (1862360320).

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

900468800 is a wasteful number, since it uses less digits than its factorization.

900468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7349 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 900468800 is about 30007.8123161286. The cubic root of 900468800 is about 965.6569930715.

The spelling of 900468800 in words is "nine hundred million, four hundred sixty-eight thousand, eight hundred".