39482920 has 64 divisors (see below), whose sum is σ = 93085200. Its totient is φ = 15052800.

The previous prime is 39482909. The next prime is 39482923. The reversal of 39482920 is 2928493.

It can be written as a sum of positive squares in 8 ways, for example, as 24226084 + 15256836 = 4922^2 + 3906^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 39482920.

It is not an unprimeable number, because it can be changed into a prime (39482923) 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, 116992 + ... + 117328.

Almost surely, 2^39482920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46542600).

39482920 is an abundant number, since it is smaller than the sum of its proper divisors (53602280).

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

39482920 is a wasteful number, since it uses less digits than its factorization.

39482920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 39482920 is about 6283.5435862258. The cubic root of 39482920 is about 340.5151360750.

The spelling of 39482920 in words is "thirty-nine million, four hundred eighty-two thousand, nine hundred twenty".