473375520 has 144 divisors (see below), whose sum is σ = 1632529080. Its totient is φ = 124895232.

The previous prime is 473375509. The next prime is 473375543. The reversal of 473375520 is 25573374.

473375520 is a `hidden beast` number, since 4 + 73 + 37 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 457788816 + 15586704 = 21396^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137986 + ... + 141374.

Almost surely, 2^473375520 is an apocalyptic number.

473375520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816264540).

473375520 is an abundant number, since it is smaller than the sum of its proper divisors (1159153560).

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

473375520 is a wasteful number, since it uses less digits than its factorization.

473375520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 473375520 is about 21757.1946721079. The cubic root of 473375520 is about 779.3548906640.

The spelling of 473375520 in words is "four hundred seventy-three million, three hundred seventy-five thousand, five hundred twenty".