475907920 has 40 divisors (see below), whose sum is σ = 1118935080. Its totient is φ = 188221440.

The previous prime is 475907897. The next prime is 475907921. The reversal of 475907920 is 29709574.

It can be written as a sum of positive squares in 4 ways, for example, as 2062096 + 473845824 = 1436^2 + 21768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475907921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26301 + ... + 40540.

It is an arithmetic number, because the mean of its divisors is an integer number (27973377).

Almost surely, 2^475907920 is an apocalyptic number.

475907920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475907920 is an abundant number, since it is smaller than the sum of its proper divisors (643027160).

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

475907920 is a wasteful number, since it uses less digits than its factorization.

475907920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66943 (or 66937 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 475907920 is about 21815.3138872674. The cubic root of 475907920 is about 780.7421820289.

The spelling of 475907920 in words is "four hundred seventy-five million, nine hundred seven thousand, nine hundred twenty".