424051200 has 300 divisors, whose sum is σ = 1573281930. Its totient is φ = 112803840.

The previous prime is 424051193. The next prime is 424051237. The reversal of 424051200 is 2150424.

It can be written as a sum of positive squares in 3 ways, for example, as 389193984 + 34857216 = 19728^2 + 5904^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1036596 + ... + 1037004.

Almost surely, 2^424051200 is an apocalyptic number.

424051200 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 424051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786640965).

424051200 is an abundant number, since it is smaller than the sum of its proper divisors (1149230730).

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

424051200 is an equidigital number, since it uses as much as digits as its factorization.

424051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 424051200 is about 20592.5034903481. The cubic root of 424051200 is about 751.2873889087.

The spelling of 424051200 in words is "four hundred twenty-four million, fifty-one thousand, two hundred".