445352400 has 360 divisors, whose sum is σ = 1727032320. Its totient is φ = 105615360.

The previous prime is 445352393. The next prime is 445352407. The reversal of 445352400 is 4253544.

It is an interprime number because it is at equal distance from previous prime (445352393) and next prime (445352407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445352407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1162609 + ... + 1162991.

It is an arithmetic number, because the mean of its divisors is an integer number (4797312).

Almost surely, 2^445352400 is an apocalyptic number.

445352400 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 445352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863516160).

445352400 is an abundant number, since it is smaller than the sum of its proper divisors (1281679920).

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

445352400 is a wasteful number, since it uses less digits than its factorization.

445352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 445352400 is about 21103.3741378008. The cubic root of 445352400 is about 763.6621497168.

The spelling of 445352400 in words is "four hundred forty-five million, three hundred fifty-two thousand, four hundred".