427624461 has 32 divisors (see below), whose sum is σ = 692265600. Its totient is φ = 258733440.

The previous prime is 427624453. The next prime is 427624489. The reversal of 427624461 is 164426724.

427624461 is a `hidden beast` number, since 4 + 27 + 624 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 427624461 - 2³ = 427624453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427624451) by changing a digit.

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, 331105 + ... + 332393.

It is an arithmetic number, because the mean of its divisors is an integer number (21633300).

Almost surely, 2^427624461 is an apocalyptic number.

It is an amenable number.

427624461 is a deficient number, since it is larger than the sum of its proper divisors (264641139).

427624461 is a wasteful number, since it uses less digits than its factorization.

427624461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2420 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 427624461 is about 20679.0826924213. The cubic root of 427624461 is about 753.3917264671.

The spelling of 427624461 in words is "four hundred twenty-seven million, six hundred twenty-four thousand, four hundred sixty-one".