424234400 has 36 divisors (see below), whose sum is σ = 1035664182. Its totient is φ = 169693440.

The previous prime is 424234387. The next prime is 424234423. The reversal of 424234400 is 4432424.

It can be written as a sum of positive squares in 3 ways, for example, as 407555344 + 16679056 = 20188^2 + 4084^2 .

It is a super-2 number, since 2×424234400² = 359949652286720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264347 + ... + 265946.

Almost surely, 2^424234400 is an apocalyptic number.

424234400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424234400 is an abundant number, since it is smaller than the sum of its proper divisors (611429782).

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

424234400 is a wasteful number, since it uses less digits than its factorization.

424234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530313 (or 530300 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 424234400 is about 20596.9512307040. The cubic root of 424234400 is about 751.3955645517.

Adding to 424234400 its reverse (4432424), we get a palindrome (428666824).

The spelling of 424234400 in words is "four hundred twenty-four million, two hundred thirty-four thousand, four hundred".