963225900 has 432 divisors, whose sum is σ = 3917804800. Its totient is φ = 192222720.

The previous prime is 963225889. The next prime is 963225931. The reversal of 963225900 is 9522369.

963225900 is a `hidden beast` number, since 9 + 63 + 2 + 2 + 590 + 0 = 666.

963225900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1555791 + ... + 1556409.

Almost surely, 2^963225900 is an apocalyptic number.

963225900 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 963225900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958902400).

963225900 is an abundant number, since it is smaller than the sum of its proper divisors (2954578900).

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

963225900 is a wasteful number, since it uses less digits than its factorization.

963225900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 963225900 is about 31035.8808478187. The cubic root of 963225900 is about 987.5885601289.

The spelling of 963225900 in words is "nine hundred sixty-three million, two hundred twenty-five thousand, nine hundred".