84446400 has 168 divisors, whose sum is σ = 282015184. Its totient is φ = 22118400.

The previous prime is 84446381. The next prime is 84446443. The reversal of 84446400 is 464448.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350280 + ... + 350520.

Almost surely, 2^84446400 is an apocalyptic number.

84446400 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 84446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141007592).

84446400 is an abundant number, since it is smaller than the sum of its proper divisors (197568784).

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

84446400 is a wasteful number, since it uses less digits than its factorization.

84446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 84446400 is about 9189.4722372942. The cubic root of 84446400 is about 438.7263442900.

The spelling of 84446400 in words is "eighty-four million, four hundred forty-six thousand, four hundred".