475755984 has 160 divisors (see below), whose sum is σ = 1518652800. Its totient is φ = 141373440.

The previous prime is 475755983. The next prime is 475756007. The reversal of 475755984 is 489557574.

475755984 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 559 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 475755984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475755983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250912 + ... + 252800.

It is an arithmetic number, because the mean of its divisors is an integer number (9491580).

Almost surely, 2^475755984 is an apocalyptic number.

475755984 is a gapful number since it is divisible by the number (44) 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 475755984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

475755984 is an abundant number, since it is smaller than the sum of its proper divisors (1042896816).

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

475755984 is a wasteful number, since it uses less digits than its factorization.

475755984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1958 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The square root of 475755984 is about 21811.8312848784. The cubic root of 475755984 is about 780.6590878945.

The spelling of 475755984 in words is "four hundred seventy-five million, seven hundred fifty-five thousand, nine hundred eighty-four".