74405160 has 144 divisors (see below), whose sum is σ = 251252820. Its totient is φ = 19084800.

The previous prime is 74405153. The next prime is 74405173. The reversal of 74405160 is 6150447.

It can be written as a sum of positive squares in 2 ways, for example, as 65512836 + 8892324 = 8094^2 + 2982^2 .

It is a super-2 number, since 2×74405160² = 11072255669251200, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1047925 + ... + 1047995.

Almost surely, 2^74405160 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 74405160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125626410).

74405160 is an abundant number, since it is smaller than the sum of its proper divisors (176847660).

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

74405160 is a wasteful number, since it uses less digits than its factorization.

74405160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 74405160 is about 8625.8425675409. The cubic root of 74405160 is about 420.5984665557.

The spelling of 74405160 in words is "seventy-four million, four hundred five thousand, one hundred sixty".