475735401 has 24 divisors (see below), whose sum is σ = 722546760. Its totient is φ = 301190400.

The previous prime is 475735399. The next prime is 475735409. The reversal of 475735401 is 104537574.

It is a happy number.

475735401 is a `hidden beast` number, since 47 + 5 + 73 + 540 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6969600 + 468765801 = 2640^2 + 21651^2 .

It is not a de Polignac number, because 475735401 - 2¹ = 475735399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (475735409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981 + ... + 30861.

It is an arithmetic number, because the mean of its divisors is an integer number (30106115).

Almost surely, 2^475735401 is an apocalyptic number.

It is an amenable number.

475735401 is a deficient number, since it is larger than the sum of its proper divisors (246811359).

475735401 is a wasteful number, since it uses less digits than its factorization.

475735401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29977 (or 29974 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 475735401 is about 21811.3594486910. The cubic root of 475735401 is about 780.6478296457.

The spelling of 475735401 in words is "four hundred seventy-five million, seven hundred thirty-five thousand, four hundred one".