445430400 has 96 divisors (see below), whose sum is σ = 1467168000. Its totient is φ = 118778880.

The previous prime is 445430393. The next prime is 445430411. The reversal of 445430400 is 4034544.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13600 + ... + 32799.

It is an arithmetic number, because the mean of its divisors is an integer number (15283000).

Almost surely, 2^445430400 is an apocalyptic number.

445430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445430400 is an abundant number, since it is smaller than the sum of its proper divisors (1021737600).

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

445430400 is a wasteful number, since it uses less digits than its factorization.

445430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46426 (or 46409 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 445430400 is about 21105.2221025982. Note that the first 3 decimals coincide. The cubic root of 445430400 is about 763.7067302710.

Adding to 445430400 its reverse (4034544), we get a palindrome (449464944).

The spelling of 445430400 in words is "four hundred forty-five million, four hundred thirty thousand, four hundred".