839400480 has 144 divisors (see below), whose sum is σ = 2872920960. Its totient is φ = 223179264.

The previous prime is 839400469. The next prime is 839400481. The reversal of 839400480 is 84004938.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (839400481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666091 + ... + 667349.

It is an arithmetic number, because the mean of its divisors is an integer number (19950840).

Almost surely, 2^839400480 is an apocalyptic number.

839400480 is a gapful number since it is divisible by the number (80) 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 839400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436460480).

839400480 is an abundant number, since it is smaller than the sum of its proper divisors (2033520480).

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

839400480 is a wasteful number, since it uses less digits than its factorization.

839400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 839400480 is about 28972.4089436830. The cubic root of 839400480 is about 943.3142702665.

The spelling of 839400480 in words is "eight hundred thirty-nine million, four hundred thousand, four hundred eighty".