74526480 has 400 divisors, whose sum is σ = 311122944. Its totient is φ = 16174080.

The previous prime is 74526457. The next prime is 74526523. The reversal of 74526480 is 8462547.

74526480 is a `hidden beast` number, since 7 + 4 + 5 + 2 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1406134 + ... + 1406186.

Almost surely, 2^74526480 is an apocalyptic number.

74526480 is a gapful number since it is divisible by the number (70) 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 74526480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155561472).

74526480 is an abundant number, since it is smaller than the sum of its proper divisors (236596464).

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

74526480 is a wasteful number, since it uses less digits than its factorization.

74526480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

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

The square root of 74526480 is about 8632.8720597493. The cubic root of 74526480 is about 420.8269421853.

It can be divided in two parts, 745 and 26480, that added together give a square (27225 = 165²).

The spelling of 74526480 in words is "seventy-four million, five hundred twenty-six thousand, four hundred eighty".