424872000 has 448 divisors, whose sum is σ = 1787834880. Its totient is φ = 96768000.

The previous prime is 424871989. The next prime is 424872017. The reversal of 424872000 is 278424.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511860 + ... + 1512140.

Almost surely, 2^424872000 is an apocalyptic number.

424872000 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 424872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893917440).

424872000 is an abundant number, since it is smaller than the sum of its proper divisors (1362962880).

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

424872000 is a wasteful number, since it uses less digits than its factorization.

424872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 424872000 is about 20612.4234383054. The cubic root of 424872000 is about 751.7718109518.

The spelling of 424872000 in words is "four hundred twenty-four million, eight hundred seventy-two thousand".