475286064 has 240 divisors, whose sum is σ = 1464489600. Its totient is φ = 132295680.

The previous prime is 475286059. The next prime is 475286069. The reversal of 475286064 is 460682574.

It is an interprime number because it is at equal distance from previous prime (475286059) and next prime (475286069).

It is a super-2 number, since 2×475286064² = 451793685265224192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (475286069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6510732 + ... + 6510804.

It is an arithmetic number, because the mean of its divisors is an integer number (6102040).

Almost surely, 2^475286064 is an apocalyptic number.

475286064 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 475286064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732244800).

475286064 is an abundant number, since it is smaller than the sum of its proper divisors (989203536).

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

475286064 is a wasteful number, since it uses less digits than its factorization.

475286064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 475286064 is about 21801.0564881613. The cubic root of 475286064 is about 780.4019755795.

The spelling of 475286064 in words is "four hundred seventy-five million, two hundred eighty-six thousand, sixty-four".