575485680 has 480 divisors, whose sum is σ = 2374848000. Its totient is φ = 112527360.

The previous prime is 575485667. The next prime is 575485693. The reversal of 575485680 is 86584575.

It is an interprime number because it is at equal distance from previous prime (575485667) and next prime (575485693).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3862246 + ... + 3862394.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^575485680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424000).

575485680 is an abundant number, since it is smaller than the sum of its proper divisors (1799362320).

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

575485680 is a wasteful number, since it uses less digits than its factorization.

575485680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 575485680 is about 23989.2826070310. The cubic root of 575485680 is about 831.7858099401.

The spelling of 575485680 in words is "five hundred seventy-five million, four hundred eighty-five thousand, six hundred eighty".