424416800 has 72 divisors (see below), whose sum is σ = 1041753636. Its totient is φ = 168842240.

The previous prime is 424416799. The next prime is 424416803. The reversal of 424416800 is 8614424.

It can be written as a sum of positive squares in 6 ways, for example, as 268566544 + 155850256 = 16388^2 + 12484^2 .

It is not an unprimeable number, because it can be changed into a prime (424416803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156254 + ... + 158946.

Almost surely, 2^424416800 is an apocalyptic number.

424416800 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 424416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520876818).

424416800 is an abundant number, since it is smaller than the sum of its proper divisors (617336836).

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

424416800 is a wasteful number, since it uses less digits than its factorization.

424416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 424416800 is about 20601.3785946475. The cubic root of 424416800 is about 751.5032368774.

The spelling of 424416800 in words is "four hundred twenty-four million, four hundred sixteen thousand, eight hundred".