74928480 has 192 divisors, whose sum is σ = 269111808. Its totient is φ = 17346560.

The previous prime is 74928467. The next prime is 74928487. The reversal of 74928480 is 8482947.

It is a super-2 number, since 2×74928480² = 11228554230220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74928487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121132 + ... + 121748.

It is an arithmetic number, because the mean of its divisors is an integer number (1401624).

Almost surely, 2^74928480 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 74928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134555904).

74928480 is an abundant number, since it is smaller than the sum of its proper divisors (194183328).

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

74928480 is a wasteful number, since it uses less digits than its factorization.

74928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 74928480 is about 8656.1238438460. The cubic root of 74928480 is about 421.5822404535.

The spelling of 74928480 in words is "seventy-four million, nine hundred twenty-eight thousand, four hundred eighty".