473257890 has 320 divisors, whose sum is σ = 1605795840. Its totient is φ = 97511040.

The previous prime is 473257847. The next prime is 473257891. The reversal of 473257890 is 98752374.

473257890 is a `hidden beast` number, since 4 + 73 + 2 + 578 + 9 + 0 = 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 (473257891) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2477695 + ... + 2477885.

It is an arithmetic number, because the mean of its divisors is an integer number (5018112).

Almost surely, 2^473257890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473257890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802897920).

473257890 is an abundant number, since it is smaller than the sum of its proper divisors (1132537950).

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

473257890 is a wasteful number, since it uses less digits than its factorization.

473257890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 473257890 is about 21754.4912604271. The cubic root of 473257890 is about 779.2903308473.

The spelling of 473257890 in words is "four hundred seventy-three million, two hundred fifty-seven thousand, eight hundred ninety".