900396000 has 480 divisors, whose sum is σ = 3786374592. Its totient is φ = 205286400.

The previous prime is 900395987. The next prime is 900396037. The reversal of 900396000 is 693009.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267802 + ... + 2268198.

Almost surely, 2^900396000 is an apocalyptic number.

900396000 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 900396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893187296).

900396000 is an abundant number, since it is smaller than the sum of its proper divisors (2885978592).

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

900396000 is a wasteful number, since it uses less digits than its factorization.

900396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 900396000 is about 30006.5992741597. The cubic root of 900396000 is about 965.6309689517.

It can be divided in two parts, 900 and 396000, that added together give a square (396900 = 630²).

The spelling of 900396000 in words is "nine hundred million, three hundred ninety-six thousand".