445352324400 has 180 divisors, whose sum is σ = 1581438598168. Its totient is φ = 115998704640.

The previous prime is 445352324393. The next prime is 445352324407. The reversal of 445352324400 is 4423253544.

445352324400 is a `hidden beast` number, since 44 + 53 + 523 + 2 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (445352324393) and next prime (445352324407).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (445352324407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1283677 + ... + 1593276.

Almost surely, 2^445352324400 is an apocalyptic number.

445352324400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445352324400 is an abundant number, since it is smaller than the sum of its proper divisors (1136086273768).

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

445352324400 is a wasteful number, since it uses less digits than its factorization.

445352324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877020 (or 2877006 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 445352324400 its reverse (4423253544), we get a palindrome (449775577944).

The spelling of 445352324400 in words is "four hundred forty-five billion, three hundred fifty-two million, three hundred twenty-four thousand, four hundred".