39948480 has 336 divisors, whose sum is σ = 163092384. Its totient is φ = 8847360.

The previous prime is 39948439. The next prime is 39948509. The reversal of 39948480 is 8484993.

It is a happy number.

39948480 is a `hidden beast` number, since 3 + 99 + 484 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 411792 + ... + 411888.

It is an arithmetic number, because the mean of its divisors is an integer number (485394).

Almost surely, 2^39948480 is an apocalyptic number.

39948480 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 39948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81546192).

39948480 is an abundant number, since it is smaller than the sum of its proper divisors (123143904).

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

39948480 is a wasteful number, since it uses less digits than its factorization.

39948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 39948480 is about 6320.4809943548. The cubic root of 39948480 is about 341.8482963166.

The spelling of 39948480 in words is "thirty-nine million, nine hundred forty-eight thousand, four hundred eighty".