424064000 has 88 divisors (see below), whose sum is σ = 1058266248. Its totient is φ = 169574400.

The previous prime is 424063957. The next prime is 424064023. The reversal of 424064000 is 460424.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 423371776 = 832^2 + 20576^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126344 + ... + 129656.

Almost surely, 2^424064000 is an apocalyptic number.

424064000 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 424064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529133124).

424064000 is an abundant number, since it is smaller than the sum of its proper divisors (634202248).

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

424064000 is an equidigital number, since it uses as much as digits as its factorization.

424064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 424064000 is about 20592.8142807145. The cubic root of 424064000 is about 751.2949480445.

The spelling of 424064000 in words is "four hundred twenty-four million, sixty-four thousand".