945921600 has 504 divisors, whose sum is σ = 3760370432. Its totient is φ = 223948800.

The previous prime is 945921563. The next prime is 945921601. The reversal of 945921600 is 6129549.

945921600 is a `hidden beast` number, since 9 + 4 + 592 + 1 + 60 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (945921601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5803119 + ... + 5803281.

Almost surely, 2^945921600 is an apocalyptic number.

945921600 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 945921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880185216).

945921600 is an abundant number, since it is smaller than the sum of its proper divisors (2814448832).

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

945921600 is a wasteful number, since it uses less digits than its factorization.

945921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 945921600 is about 30755.8384701182. The cubic root of 945921600 is about 981.6387962580.

The spelling of 945921600 in words is "nine hundred forty-five million, nine hundred twenty-one thousand, six hundred".