39480 has 64 divisors (see below), whose sum is σ = 138240. Its totient is φ = 8832.

The previous prime is 39461. The next prime is 39499. The reversal of 39480 is 8493.

It is an interprime number because it is at equal distance from previous prime (39461) and next prime (39499).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 39480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2³⁹⁴⁸⁰ is an apocalyptic number.

39480 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 39480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

39480 is an abundant number, since it is smaller than the sum of its proper divisors (98760).

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

39480 is a wasteful number, since it uses less digits than its factorization.

39480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 39480 is about 198.6957473123. The cubic root of 39480 is about 34.0506741486.

It can be divided in two parts, 394 and 80, that added together give a palindrome (474).

The spelling of 39480 in words is "thirty-nine thousand, four hundred eighty".