475088640 has 288 divisors, whose sum is σ = 1692235776. Its totient is φ = 112803840.

The previous prime is 475088617. The next prime is 475088641. The reversal of 475088640 is 46880574.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 475088592 and 475088601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475088641) 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, 1547367 + ... + 1547673.

Almost surely, 2^475088640 is an apocalyptic number.

475088640 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 475088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846117888).

475088640 is an abundant number, since it is smaller than the sum of its proper divisors (1217147136).

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

475088640 is a wasteful number, since it uses less digits than its factorization.

475088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 475088640 is about 21796.5281639072. The cubic root of 475088640 is about 780.2939063353.

The spelling of 475088640 in words is "four hundred seventy-five million, eighty-eight thousand, six hundred forty".