840000480 has 192 divisors, whose sum is σ = 3012484608. Its totient is φ = 194754560.

The previous prime is 840000461. The next prime is 840000487. The reversal of 840000480 is 84000048.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 840000480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840000487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117982 + ... + 124898.

It is an arithmetic number, because the mean of its divisors is an integer number (15690024).

Almost surely, 2^840000480 is an apocalyptic number.

840000480 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 840000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506242304).

840000480 is an abundant number, since it is smaller than the sum of its proper divisors (2172484128).

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

840000480 is a wasteful number, since it uses less digits than its factorization.

840000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 840000480 is about 28982.7617731644. The cubic root of 840000480 is about 943.5389757849.

The spelling of 840000480 in words is "eight hundred forty million, four hundred eighty", and thus it is an aban number.