74182480 has 40 divisors (see below), whose sum is σ = 174200904. Its totient is φ = 29376000.

The previous prime is 74182469. The next prime is 74182487. The reversal of 74182480 is 8428147.

It can be written as a sum of positive squares in 4 ways, for example, as 29986576 + 44195904 = 5476^2 + 6648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74182487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3490 + ... + 12670.

Almost surely, 2^74182480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74182480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87100452).

74182480 is an abundant number, since it is smaller than the sum of its proper divisors (100018424).

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

74182480 is a wasteful number, since it uses less digits than its factorization.

74182480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 74182480 is about 8612.9251709277. The cubic root of 74182480 is about 420.1784577983.

The spelling of 74182480 in words is "seventy-four million, one hundred eighty-two thousand, four hundred eighty".