900480064 has 105 divisors (see below), whose sum is σ = 2031017655. Its totient is φ = 396105600.

The previous prime is 900480043. The next prime is 900480079. The reversal of 900480064 is 460084009.

The square root of 900480064 is 30008.

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

It is a super-2 number, since 2×900480064² = 1621728691322888192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29047729 + ... + 29047759.

Almost surely, 2^900480064 is an apocalyptic number.

900480064 is the 30008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900480064

900480064 is an abundant number, since it is smaller than the sum of its proper divisors (1130537591).

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

900480064 is an frugal number, since it uses more digits than its factorization.

900480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 900480064 is about 965.6610195352.

The spelling of 900480064 in words is "nine hundred million, four hundred eighty thousand, sixty-four".