174228480 has 264 divisors, whose sum is σ = 638664000. Its totient is φ = 43794432.

The previous prime is 174228469. The next prime is 174228487. The reversal of 174228480 is 84822471.

174228480 is a `hidden beast` number, since 174 + 2 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×174228480² = 60711126486220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (174228487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875421 + ... + 875619.

Almost surely, 2^174228480 is an apocalyptic number.

174228480 is a gapful number since it is divisible by the number (10) 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 174228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319332000).

174228480 is an abundant number, since it is smaller than the sum of its proper divisors (464435520).

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

174228480 is a wasteful number, since it uses less digits than its factorization.

174228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 174228480 is about 13199.5636291508. The cubic root of 174228480 is about 558.5212687799.

The spelling of 174228480 in words is "one hundred seventy-four million, two hundred twenty-eight thousand, four hundred eighty".