420031200 has 72 divisors (see below), whose sum is σ = 1367209368. Its totient is φ = 112007680.

The previous prime is 420031193. The next prime is 420031231. The reversal of 420031200 is 2130024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85107 + ... + 89906.

It is an arithmetic number, because the mean of its divisors is an integer number (18989019).

Almost surely, 2^420031200 is an apocalyptic number.

420031200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420031200 is an abundant number, since it is smaller than the sum of its proper divisors (947178168).

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

420031200 is a wasteful number, since it uses less digits than its factorization.

420031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175036 (or 175023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 420031200 is about 20494.6627198400. The cubic root of 420031200 is about 748.9057821372.

Adding to 420031200 its reverse (2130024), we get a palindrome (422161224).

The spelling of 420031200 in words is "four hundred twenty million, thirty-one thousand, two hundred".