424766400 has 84 divisors (see below), whose sum is σ = 1393603512. Its totient is φ = 113269760.

The previous prime is 424766389. The next prime is 424766467. The reversal of 424766400 is 4667424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39447 + ... + 49046.

It is an arithmetic number, because the mean of its divisors is an integer number (16590518).

Almost surely, 2^424766400 is an apocalyptic number.

424766400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424766400 is an abundant number, since it is smaller than the sum of its proper divisors (968837112).

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

424766400 is a wasteful number, since it uses less digits than its factorization.

424766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88518 (or 88503 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 424766400 is about 20609.8617171489. The cubic root of 424766400 is about 751.7095226381.

The spelling of 424766400 in words is "four hundred twenty-four million, seven hundred sixty-six thousand, four hundred".