4172800 has 66 divisors (see below), whose sum is σ = 10406948. Its totient is φ = 1658880.

The previous prime is 4172789. The next prime is 4172807. The reversal of 4172800 is 82714.

It is not an unprimeable number, because it can be changed into a prime (4172807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25519 + ... + 25681.

Almost surely, 2^4172800 is an apocalyptic number.

4172800 is a gapful number since it is divisible by the number (40) 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 4172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203474).

4172800 is an abundant number, since it is smaller than the sum of its proper divisors (6234148).

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

4172800 is a wasteful number, since it uses less digits than its factorization.

4172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 4172800 is about 2042.7432535686. The cubic root of 4172800 is about 160.9938143014.

The spelling of 4172800 in words is "four million, one hundred seventy-two thousand, eight hundred".