474248160 has 144 divisors (see below), whose sum is σ = 1645207200. Its totient is φ = 124369920.

The previous prime is 474248141. The next prime is 474248171. The reversal of 474248160 is 61842474.

474248160 is a `hidden beast` number, since 474 + 24 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×474248160² = 449822634526771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85141 + ... + 90539.

It is an arithmetic number, because the mean of its divisors is an integer number (11425050).

Almost surely, 2^474248160 is an apocalyptic number.

474248160 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 474248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822603600).

474248160 is an abundant number, since it is smaller than the sum of its proper divisors (1170959040).

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

474248160 is a wasteful number, since it uses less digits than its factorization.

474248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 474248160 is about 21777.2394944814. The cubic root of 474248160 is about 779.8334950311.

The spelling of 474248160 in words is "four hundred seventy-four million, two hundred forty-eight thousand, one hundred sixty".