424220400 has 90 divisors (see below), whose sum is σ = 1472175120. Its totient is φ = 113124480.

The previous prime is 424220383. The next prime is 424220417. The reversal of 424220400 is 4022424.

424220400 is a `hidden beast` number, since 4 + 242 + 20 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (424220383) and next prime (424220417).

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

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

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 17 ways as a sum of consecutive naturals, for example, 55320 + ... + 62519.

Almost surely, 2^424220400 is an apocalyptic number.

424220400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424220400 is an abundant number, since it is smaller than the sum of its proper divisors (1047954720).

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

424220400 is a wasteful number, since it uses less digits than its factorization.

424220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117863 (or 117849 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 424220400 is about 20596.6113717767. The cubic root of 424220400 is about 751.3872989533.

Adding to 424220400 its reverse (4022424), we get a palindrome (428242824).

It can be divided in two parts, 4242 and 20400, that added together give a palindrome (24642).

The spelling of 424220400 in words is "four hundred twenty-four million, two hundred twenty thousand, four hundred".