427506856200 has 144 divisors (see below), whose sum is σ = 1437459990720. Its totient is φ = 113862913920.

The previous prime is 427506856019. The next prime is 427506856201. The reversal of 427506856200 is 2658605724.

427506856200 is a `hidden beast` number, since 4 + 2 + 7 + 506 + 85 + 62 + 0 + 0 = 666.

It is a super-2 number, since 2×427506856200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (427506856201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1337109 + ... + 1625691.

Almost surely, 2^427506856200 is an apocalyptic number.

427506856200 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 427506856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718729995360).

427506856200 is an abundant number, since it is smaller than the sum of its proper divisors (1009953134520).

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

427506856200 is a wasteful number, since it uses less digits than its factorization.

427506856200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289428 (or 289416 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 427506856200 in words is "four hundred twenty-seven billion, five hundred six million, eight hundred fifty-six thousand, two hundred".