445766400 has 324 divisors, whose sum is σ = 1630989360. Its totient is φ = 116121600.

The previous prime is 445766389. The next prime is 445766441. The reversal of 445766400 is 4667544.

445766400 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 6 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4089546 + ... + 4089654.

Almost surely, 2^445766400 is an apocalyptic number.

445766400 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 445766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815494680).

445766400 is an abundant number, since it is smaller than the sum of its proper divisors (1185222960).

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

445766400 is a wasteful number, since it uses less digits than its factorization.

445766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 445766400 is about 21113.1807172676. The cubic root of 445766400 is about 763.8987101082.

The spelling of 445766400 in words is "four hundred forty-five million, seven hundred sixty-six thousand, four hundred".