445478400 has 240 divisors, whose sum is σ = 1636390800. Its totient is φ = 118702080.

The previous prime is 445478381. The next prime is 445478413. The reversal of 445478400 is 4874544.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 344956 + ... + 346244.

It is an arithmetic number, because the mean of its divisors is an integer number (6818295).

Almost surely, 2^445478400 is an apocalyptic number.

445478400 is a gapful number since it is divisible by the number (40) 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 445478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818195400).

445478400 is an abundant number, since it is smaller than the sum of its proper divisors (1190912400).

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

445478400 is a wasteful number, since it uses less digits than its factorization.

445478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 445478400 is about 21106.3592312838. The cubic root of 445478400 is about 763.7341618716.

The spelling of 445478400 in words is "four hundred forty-five million, four hundred seventy-eight thousand, four hundred".