475829760 has 320 divisors, whose sum is σ = 1781885952. Its totient is φ = 106070016.

The previous prime is 475829747. The next prime is 475829789. The reversal of 475829760 is 67928574.

It is a tau number, because it is divible by the number of its divisors (320).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2849197 + ... + 2849363.

Almost surely, 2^475829760 is an apocalyptic number.

475829760 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 475829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976).

475829760 is an abundant number, since it is smaller than the sum of its proper divisors (1306056192).

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

475829760 is a wasteful number, since it uses less digits than its factorization.

475829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 475829760 is about 21813.5224115685. The cubic root of 475829760 is about 780.6994383613.

The spelling of 475829760 in words is "four hundred seventy-five million, eight hundred twenty-nine thousand, seven hundred sixty".