477625401 has 48 divisors (see below), whose sum is σ = 817889280. Its totient is φ = 265356000.

The previous prime is 477625397. The next prime is 477625427. The reversal of 477625401 is 104526774.

477625401 is a `hidden beast` number, since 47 + 76 + 2 + 540 + 1 = 666.

It is not a de Polignac number, because 477625401 - 2² = 477625397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (477625451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54216 + ... + 62406.

It is an arithmetic number, because the mean of its divisors is an integer number (17039360).

Almost surely, 2^477625401 is an apocalyptic number.

It is an amenable number.

477625401 is a deficient number, since it is larger than the sum of its proper divisors (340263879).

477625401 is a wasteful number, since it uses less digits than its factorization.

477625401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8255 counting only the distinct ones).

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

The square root of 477625401 is about 21854.6425502684. The cubic root of 477625401 is about 781.6802486768.

The spelling of 477625401 in words is "four hundred seventy-seven million, six hundred twenty-five thousand, four hundred one".