424436400 has 90 divisors (see below), whose sum is σ = 1472924700. Its totient is φ = 113182080.

The previous prime is 424436393. The next prime is 424436423. The reversal of 424436400 is 4634424.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55350 + ... + 62549.

It is an arithmetic number, because the mean of its divisors is an integer number (16365830).

Almost surely, 2^424436400 is an apocalyptic number.

424436400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424436400 is an abundant number, since it is smaller than the sum of its proper divisors (1048488300).

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

424436400 is a wasteful number, since it uses less digits than its factorization.

424436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117923 (or 117909 counting only the distinct ones).

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

The square root of 424436400 is about 20601.8542854763. The cubic root of 424436400 is about 751.5148050942.

The spelling of 424436400 in words is "four hundred twenty-four million, four hundred thirty-six thousand, four hundred".