424634400 has 180 divisors, whose sum is σ = 1548795402. Its totient is φ = 113218560.

The previous prime is 424634393. The next prime is 424634437. The reversal of 424634400 is 4436424.

424634400 is a `hidden beast` number, since 4 + 24 + 634 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 282643344 + 141991056 = 16812^2 + 11916^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 29 ways as a sum of consecutive naturals, for example, 61524 + ... + 68076.

Almost surely, 2^424634400 is an apocalyptic number.

424634400 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 424634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774397701).

424634400 is an abundant number, since it is smaller than the sum of its proper divisors (1124161002).

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

424634400 is a wasteful number, since it uses less digits than its factorization.

424634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 424634400 is about 20606.6591178677. The cubic root of 424634400 is about 751.6316477268.

The spelling of 424634400 in words is "four hundred twenty-four million, six hundred thirty-four thousand, four hundred".