475390890 has 256 divisors, whose sum is σ = 1497968640. Its totient is φ = 106168320.

The previous prime is 475390871. The next prime is 475390897. The reversal of 475390890 is 98093574.

475390890 is a `hidden beast` number, since 475 + 3 + 90 + 8 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (475390897) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1849642 + ... + 1849898.

It is an arithmetic number, because the mean of its divisors is an integer number (5851440).

Almost surely, 2^475390890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475390890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748984320).

475390890 is an abundant number, since it is smaller than the sum of its proper divisors (1022577750).

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

475390890 is a wasteful number, since it uses less digits than its factorization.

475390890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 475390890 is about 21803.4605051583. The cubic root of 475390890 is about 780.4593448217.

The spelling of 475390890 in words is "four hundred seventy-five million, three hundred ninety thousand, eight hundred ninety".