84400480 has 48 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 33375232.

The previous prime is 84400471. The next prime is 84400493. The reversal of 84400480 is 8400448.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11277 + ... + 17203.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^84400480 is an apocalyptic number.

84400480 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 84400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

84400480 is an abundant number, since it is smaller than the sum of its proper divisors (117270080).

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

84400480 is a wasteful number, since it uses less digits than its factorization.

84400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 84400480 is about 9186.9733862682. The cubic root of 84400480 is about 438.6468067903.

The spelling of 84400480 in words is "eighty-four million, four hundred thousand, four hundred eighty".