475740720 has 480 divisors, whose sum is σ = 2018120832. Its totient is φ = 97763328.

The previous prime is 475740719. The next prime is 475740731. The reversal of 475740720 is 27047574.

It is a happy number.

It is a super-2 number, since 2×475740720² = 452658465332236800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3472492 + ... + 3472628.

Almost surely, 2^475740720 is an apocalyptic number.

475740720 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 475740720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009060416).

475740720 is an abundant number, since it is smaller than the sum of its proper divisors (1542380112).

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

475740720 is a wasteful number, since it uses less digits than its factorization.

475740720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 475740720 is about 21811.4813802272. The cubic root of 475740720 is about 780.6507390013.

The spelling of 475740720 in words is "four hundred seventy-five million, seven hundred forty thousand, seven hundred twenty".