427401576 has 128 divisors (see below), whose sum is σ = 1377408000. Its totient is φ = 120263616.

The previous prime is 427401529. The next prime is 427401587. The reversal of 427401576 is 675104724.

427401576 is a `hidden beast` number, since 42 + 7 + 40 + 1 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 427401576.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99195 + ... + 103413.

It is an arithmetic number, because the mean of its divisors is an integer number (10761000).

Almost surely, 2^427401576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427401576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688704000).

427401576 is an abundant number, since it is smaller than the sum of its proper divisors (950006424).

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

427401576 is a wasteful number, since it uses less digits than its factorization.

427401576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4298 counting only the distinct ones).

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

The square root of 427401576 is about 20673.6928486422. The cubic root of 427401576 is about 753.2608102755.

The spelling of 427401576 in words is "four hundred twenty-seven million, four hundred one thousand, five hundred seventy-six".