475798680 has 192 divisors, whose sum is σ = 1775592000. Its totient is φ = 108241920.

The previous prime is 475798667. The next prime is 475798693. The reversal of 475798680 is 86897574.

475798680 is a `hidden beast` number, since 4 + 7 + 579 + 8 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (475798667) and next prime (475798693).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879210 + ... + 879750.

It is an arithmetic number, because the mean of its divisors is an integer number (9247875).

Almost surely, 2^475798680 is an apocalyptic number.

475798680 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 475798680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887796000).

475798680 is an abundant number, since it is smaller than the sum of its proper divisors (1299793320).

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

475798680 is a wasteful number, since it uses less digits than its factorization.

475798680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 475798680 is about 21812.8099977972. The cubic root of 475798680 is about 780.6824402183.

The spelling of 475798680 in words is "four hundred seventy-five million, seven hundred ninety-eight thousand, six hundred eighty".