39924480 has 144 divisors (see below), whose sum is σ = 131421024. Its totient is φ = 10321920.

The previous prime is 39924457. The next prime is 39924487. The reversal of 39924480 is 8442993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39924487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141940 + ... + 142220.

It is an arithmetic number, because the mean of its divisors is an integer number (912646).

Almost surely, 2^39924480 is an apocalyptic number.

39924480 is a gapful number since it is divisible by the number (30) 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 39924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65710512).

39924480 is an abundant number, since it is smaller than the sum of its proper divisors (91496544).

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

39924480 is a wasteful number, since it uses less digits than its factorization.

39924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 39924480 is about 6318.5821194315. The cubic root of 39924480 is about 341.7798247698.

It can be divided in two parts, 39924 and 480, that added together give a palindrome (40404).

The spelling of 39924480 in words is "thirty-nine million, nine hundred twenty-four thousand, four hundred eighty".