473798160 has 600 divisors, whose sum is σ = 1989890496. Its totient is φ = 103403520.

The previous prime is 473798153. The next prime is 473798167. The reversal of 473798160 is 61897374.

It is an interprime number because it is at equal distance from previous prime (473798153) and next prime (473798167).

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 (473798167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20599909 + ... + 20599931.

Almost surely, 2^473798160 is an apocalyptic number.

473798160 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 473798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994945248).

473798160 is an abundant number, since it is smaller than the sum of its proper divisors (1516092336).

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

473798160 is a wasteful number, since it uses less digits than its factorization.

473798160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 473798160 is about 21766.9051543852. The cubic root of 473798160 is about 779.5867633583.

The spelling of 473798160 in words is "four hundred seventy-three million, seven hundred ninety-eight thousand, one hundred sixty".