39493440 has 224 divisors, whose sum is σ = 159471360. Its totient is φ = 9013248.

The previous prime is 39493439. The next prime is 39493463. The reversal of 39493440 is 4439493.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 39493395 and 39493404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60154 + ... + 60806.

Almost surely, 2^39493440 is an apocalyptic number.

39493440 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 39493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79735680).

39493440 is an abundant number, since it is smaller than the sum of its proper divisors (119977920).

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

39493440 is a wasteful number, since it uses less digits than its factorization.

39493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 39493440 is about 6284.3806377399. The cubic root of 39493440 is about 340.5453761647.

The spelling of 39493440 in words is "thirty-nine million, four hundred ninety-three thousand, four hundred forty".