427485600 has 252 divisors, whose sum is σ = 1566817686. Its totient is φ = 113840640.

The previous prime is 427485599. The next prime is 427485623. The reversal of 427485600 is 6584724.

427485600 is a `hidden beast` number, since 4 + 2 + 7 + 48 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 407878416 + 19607184 = 20196^2 + 4428^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 582834 + ... + 583566.

Almost surely, 2^427485600 is an apocalyptic number.

427485600 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 427485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783408843).

427485600 is an abundant number, since it is smaller than the sum of its proper divisors (1139332086).

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

427485600 is an equidigital number, since it uses as much as digits as its factorization.

427485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 427485600 is about 20675.7248966028. The cubic root of 427485600 is about 753.3101688825.

The spelling of 427485600 in words is "four hundred twenty-seven million, four hundred eighty-five thousand, six hundred".