427883200 has 84 divisors (see below), whose sum is σ = 1114863912. Its totient is φ = 161075200.

The previous prime is 427883179. The next prime is 427883227. The reversal of 427883200 is 2388724.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19335 + ... + 35065.

Almost surely, 2^427883200 is an apocalyptic number.

427883200 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 427883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557431956).

427883200 is an abundant number, since it is smaller than the sum of its proper divisors (686980712).

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

427883200 is a wasteful number, since it uses less digits than its factorization.

427883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15770 (or 15755 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 427883200 is about 20685.3378024145. The cubic root of 427883200 is about 753.5436452164.

It can be divided in two parts, 4278 and 83200, that added together give a palindrome (87478).

The spelling of 427883200 in words is "four hundred twenty-seven million, eight hundred eighty-three thousand, two hundred".