473948160 has 448 divisors, whose sum is σ = 1887321600. Its totient is φ = 99090432.

The previous prime is 473948149. The next prime is 473948173. The reversal of 473948160 is 61849374.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16343026 + ... + 16343054.

Almost surely, 2^473948160 is an apocalyptic number.

473948160 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 473948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943660800).

473948160 is an abundant number, since it is smaller than the sum of its proper divisors (1413373440).

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

473948160 is a wasteful number, since it uses less digits than its factorization.

473948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 473948160 is about 21770.3504794939. The cubic root of 473948160 is about 779.6690246009.

The spelling of 473948160 in words is "four hundred seventy-three million, nine hundred forty-eight thousand, one hundred sixty".