475839360 has 320 divisors, whose sum is σ = 1737259920. Its totient is φ = 124084224.

The previous prime is 475839359. The next prime is 475839361. The reversal of 475839360 is 63938574.

475839360 is a `hidden beast` number, since 4 + 7 + 583 + 9 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (475839359) and next prime (475839361).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475839361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3473212 + ... + 3473348.

Almost surely, 2^475839360 is an apocalyptic number.

475839360 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 475839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868629960).

475839360 is an abundant number, since it is smaller than the sum of its proper divisors (1261420560).

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

475839360 is a wasteful number, since it uses less digits than its factorization.

475839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 475839360 is about 21813.7424574510. The cubic root of 475839360 is about 780.7046886033.

The spelling of 475839360 in words is "four hundred seventy-five million, eight hundred thirty-nine thousand, three hundred sixty".