475662720 has 512 divisors, whose sum is σ = 1850688000. Its totient is φ = 102629376.

The previous prime is 475662653. The next prime is 475662749. The reversal of 475662720 is 27266574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8062051 + ... + 8062109.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^475662720 is an apocalyptic number.

475662720 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 475662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

475662720 is an abundant number, since it is smaller than the sum of its proper divisors (1375025280).

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

475662720 is a wasteful number, since it uses less digits than its factorization.

475662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 475662720 is about 21809.6932578154. The cubic root of 475662720 is about 780.6080728436.

It can be divided in two parts, 4756 and 62720, that added together give a palindrome (67476).

The spelling of 475662720 in words is "four hundred seventy-five million, six hundred sixty-two thousand, seven hundred twenty".