74177480 has 48 divisors (see below), whose sum is σ = 180741780. Its totient is φ = 27386112.

The previous prime is 74177479. The next prime is 74177483. The reversal of 74177480 is 8477147.

It can be written as a sum of positive squares in 6 ways, for example, as 8988004 + 65189476 = 2998^2 + 8074^2 .

It is not an unprimeable number, because it can be changed into a prime (74177483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1274 + ... + 12246.

Almost surely, 2^74177480 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 74177480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90370890).

74177480 is an abundant number, since it is smaller than the sum of its proper divisors (106564300).

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

74177480 is a wasteful number, since it uses less digits than its factorization.

74177480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 38.

The square root of 74177480 is about 8612.6349046038. The cubic root of 74177480 is about 420.1690173864.

Subtracting from 74177480 its product of nonzero digits (43904), we obtain a triangular number (74133576 = T₁₂₁₇₆).

The spelling of 74177480 in words is "seventy-four million, one hundred seventy-seven thousand, four hundred eighty".