427714560 has 768 divisors, whose sum is σ = 1981324800. Its totient is φ = 84934656.

The previous prime is 427714477. The next prime is 427714571. The reversal of 427714560 is 65417724.

427714560 is a `hidden beast` number, since 4 + 27 + 71 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 25159672 + ... + 25159688.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^427714560 is an apocalyptic number.

427714560 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 427714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

427714560 is an abundant number, since it is smaller than the sum of its proper divisors (1553610240).

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

427714560 is a wasteful number, since it uses less digits than its factorization.

427714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 427714560 is about 20681.2610834059. The cubic root of 427714560 is about 753.4446350981. Note that the first 3 decimals are identical.

The spelling of 427714560 in words is "four hundred twenty-seven million, seven hundred fourteen thousand, five hundred sixty".