427645440 has 320 divisors, whose sum is σ = 1590969600. Its totient is φ = 108675072.

The previous prime is 427645399. The next prime is 427645451. The reversal of 427645440 is 44546724.

427645440 is a `hidden beast` number, since 4 + 2 + 7 + 645 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 427645395 and 427645404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589626 + ... + 1589894.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2^427645440 is an apocalyptic number.

427645440 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 427645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800).

427645440 is an abundant number, since it is smaller than the sum of its proper divisors (1163324160).

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

427645440 is a wasteful number, since it uses less digits than its factorization.

427645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 427645440 is about 20679.5899379074. The cubic root of 427645440 is about 753.4040465813.

The spelling of 427645440 in words is "four hundred twenty-seven million, six hundred forty-five thousand, four hundred forty".