74092480 has 224 divisors, whose sum is σ = 229404672. Its totient is φ = 22118400.

The previous prime is 74092451. The next prime is 74092493. The reversal of 74092480 is 8429047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763792 + ... + 763888.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 2^74092480 is an apocalyptic number.

74092480 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 74092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114702336).

74092480 is an abundant number, since it is smaller than the sum of its proper divisors (155312192).

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

74092480 is a wasteful number, since it uses less digits than its factorization.

74092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 74092480 is about 8607.6988794915. The cubic root of 74092480 is about 420.0084654378.

It can be divided in two parts, 7409 and 2480, that added together give a palindrome (9889).

The spelling of 74092480 in words is "seventy-four million, ninety-two thousand, four hundred eighty".