475735680 has 768 divisors, whose sum is σ = 2138572800. Its totient is φ = 98537472.

The previous prime is 475735649. The next prime is 475735681. The reversal of 475735680 is 86537574.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (475735681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20684149 + ... + 20684171.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^475735680 is an apocalyptic number.

475735680 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 475735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

475735680 is an abundant number, since it is smaller than the sum of its proper divisors (1662837120).

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

475735680 is a wasteful number, since it uses less digits than its factorization.

475735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 475735680 is about 21811.3658444399. The cubic root of 475735680 is about 780.6479822520.

The spelling of 475735680 in words is "four hundred seventy-five million, seven hundred thirty-five thousand, six hundred eighty".