74652480 has 378 divisors, whose sum is σ = 312247026. Its totient is φ = 16321536.

The previous prime is 74652469. The next prime is 74652511. The reversal of 74652480 is 8425647.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 14930496 = 7728^2 + 3864^2 .

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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3245749 + ... + 3245771.

Almost surely, 2^74652480 is an apocalyptic number.

74652480 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 74652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156123513).

74652480 is an abundant number, since it is smaller than the sum of its proper divisors (237594546).

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

74652480 is a wasteful number, since it uses less digits than its factorization.

74652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

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

The square root of 74652480 is about 8640.1666650592. The cubic root of 74652480 is about 421.0639690807.

The spelling of 74652480 in words is "seventy-four million, six hundred fifty-two thousand, four hundred eighty".