427605200 has 120 divisors (see below), whose sum is σ = 1129674720. Its totient is φ = 154252800.

The previous prime is 427605193. The next prime is 427605223. The reversal of 427605200 is 2506724.

It is a self number, because there is not a number n which added to its sum of digits gives 427605200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690491 + ... + 691109.

It is an arithmetic number, because the mean of its divisors is an integer number (9413956).

Almost surely, 2^427605200 is an apocalyptic number.

427605200 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 427605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564837360).

427605200 is an abundant number, since it is smaller than the sum of its proper divisors (702069520).

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

427605200 is a wasteful number, since it uses less digits than its factorization.

427605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 427605200 is about 20678.6169750300. The cubic root of 427605200 is about 753.3804149097.

The spelling of 427605200 in words is "four hundred twenty-seven million, six hundred five thousand, two hundred".