74465280 has 180 divisors, whose sum is σ = 260694252. Its totient is φ = 19660800.

The previous prime is 74465267. The next prime is 74465291. The reversal of 74465280 is 8256447.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 21233664 = 7296^2 + 4608^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737230 + ... + 737330.

Almost surely, 2^74465280 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 74465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130347126).

74465280 is an abundant number, since it is smaller than the sum of its proper divisors (186228972).

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

74465280 is a wasteful number, since it uses less digits than its factorization.

74465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 74465280 is about 8629.3267408298. The cubic root of 74465280 is about 420.7117184338.

The spelling of 74465280 in words is "seventy-four million, four hundred sixty-five thousand, two hundred eighty".