945172800 has 1008 divisors, whose sum is σ = 4333597632. Its totient is φ = 199065600.

The previous prime is 945172799. The next prime is 945172831. The reversal of 945172800 is 8271549.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55598392 + ... + 55598408.

It is an arithmetic number, because the mean of its divisors is an integer number (4299204).

Almost surely, 2^945172800 is an apocalyptic number.

945172800 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 945172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166798816).

945172800 is an abundant number, since it is smaller than the sum of its proper divisors (3388424832).

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

945172800 is a wasteful number, since it uses less digits than its factorization.

945172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 945172800 is about 30743.6627616164. The cubic root of 945172800 is about 981.3797031951.

The spelling of 945172800 in words is "nine hundred forty-five million, one hundred seventy-two thousand, eight hundred".