74605440 has 384 divisors, whose sum is σ = 302793120. Its totient is φ = 15482880.

The previous prime is 74605439. The next prime is 74605459. The reversal of 74605440 is 4450647.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 74605398 and 74605407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223010 + ... + 1223070.

Almost surely, 2^74605440 is an apocalyptic number.

74605440 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 74605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396560).

74605440 is an abundant number, since it is smaller than the sum of its proper divisors (228187680).

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

74605440 is a wasteful number, since it uses less digits than its factorization.

74605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 74605440 is about 8637.4440663891. Note that the first 3 decimals coincide. The cubic root of 74605440 is about 420.9755102610.

The spelling of 74605440 in words is "seventy-four million, six hundred five thousand, four hundred forty".