84228458400 has 864 divisors, whose sum is σ = 331509250800. Its totient is φ = 20024524800.

The previous prime is 84228458399. The next prime is 84228458423. The reversal of 84228458400 is 485482248.

84228458400 is a `hidden beast` number, since 8 + 42 + 28 + 4 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 14196245904 + 70032212496 = 119148^2 + 264636^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 216525406 + ... + 216525794.

Almost surely, 2^84228458400 is an apocalyptic number.

84228458400 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 84228458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165754625400).

84228458400 is an abundant number, since it is smaller than the sum of its proper divisors (247280792400).

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

84228458400 is a wasteful number, since it uses less digits than its factorization.

84228458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 84228458400 in words is "eighty-four billion, two hundred twenty-eight million, four hundred fifty-eight thousand, four hundred".