900463200 has 864 divisors, whose sum is σ = 3989744640. Its totient is φ = 174182400.

The previous prime is 900463199. The next prime is 900463211. The reversal of 900463200 is 2364009.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 143 ways as a sum of consecutive naturals, for example, 29047185 + ... + 29047215.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2^900463200 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 900463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

900463200 is an abundant number, since it is smaller than the sum of its proper divisors (3089281440).

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

900463200 is a wasteful number, since it uses less digits than its factorization.

900463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 900463200 is about 30007.7190069489. The cubic root of 900463200 is about 965.6549912659.

The spelling of 900463200 in words is "nine hundred million, four hundred sixty-three thousand, two hundred".