74395440 has 240 divisors, whose sum is σ = 295963200. Its totient is φ = 16386048.

The previous prime is 74395429. The next prime is 74395481. The reversal of 74395440 is 4459347.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 74395395 and 74395404.

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, 145906 + ... + 146414.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 2^74395440 is an apocalyptic number.

74395440 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 74395440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

74395440 is an abundant number, since it is smaller than the sum of its proper divisors (221567760).

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

74395440 is a wasteful number, since it uses less digits than its factorization.

74395440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 74395440 is about 8625.2791259182. The cubic root of 74395440 is about 420.5801506435.

The spelling of 74395440 in words is "seventy-four million, three hundred ninety-five thousand, four hundred forty".