475784064 has 256 divisors, whose sum is σ = 1633305600. Its totient is φ = 133539840.

The previous prime is 475784059. The next prime is 475784069. The reversal of 475784064 is 460487574.

It is an interprime number because it is at equal distance from previous prime (475784059) and next prime (475784069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475784069) 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, 1717494 + ... + 1717770.

It is an arithmetic number, because the mean of its divisors is an integer number (6380100).

Almost surely, 2^475784064 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 475784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816652800).

475784064 is an abundant number, since it is smaller than the sum of its proper divisors (1157521536).

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

475784064 is a wasteful number, since it uses less digits than its factorization.

475784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 475784064 is about 21812.4749627363. The cubic root of 475784064 is about 780.6744462411.

The spelling of 475784064 in words is "four hundred seventy-five million, seven hundred eighty-four thousand, sixty-four".