439479040 has 360 divisors, whose sum is σ = 1442761488. Its totient is φ = 126443520.

The previous prime is 439479013. The next prime is 439479071. The reversal of 439479040 is 40974934.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 439478984 and 439479002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33806074 + ... + 33806086.

Almost surely, 2^439479040 is an apocalyptic number.

439479040 is a gapful number since it is divisible by the number (40) 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 439479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721380744).

439479040 is an abundant number, since it is smaller than the sum of its proper divisors (1003282448).

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

439479040 is an equidigital number, since it uses as much as digits as its factorization.

439479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 439479040 is about 20963.7553887656. The cubic root of 439479040 is about 760.2901938891.

The spelling of 439479040 in words is "four hundred thirty-nine million, four hundred seventy-nine thousand, forty".