445572400 has 120 divisors (see below), whose sum is σ = 1317630944. Its totient is φ = 141004800.

The previous prime is 445572383. The next prime is 445572409. The reversal of 445572400 is 4275544.

It is a super-3 number, since 3×445572400³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (445572409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30280 + ... + 42520.

Almost surely, 2^445572400 is an apocalyptic number.

445572400 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 445572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658815472).

445572400 is an abundant number, since it is smaller than the sum of its proper divisors (872058544).

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

445572400 is a wasteful number, since it uses less digits than its factorization.

445572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12279 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 445572400 is about 21108.5859308481. The cubic root of 445572400 is about 763.7878763818.

The spelling of 445572400 in words is "four hundred forty-five million, five hundred seventy-two thousand, four hundred".