445473600 has 504 divisors, whose sum is σ = 1759366560. Its totient is φ = 97996800.

The previous prime is 445473571. The next prime is 445473607. The reversal of 445473600 is 6374544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445473607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7550371 + ... + 7550429.

Almost surely, 2^445473600 is an apocalyptic number.

445473600 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 445473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879683280).

445473600 is an abundant number, since it is smaller than the sum of its proper divisors (1313892960).

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

445473600 is a wasteful number, since it uses less digits than its factorization.

445473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 445473600 is about 21106.2455211722. The cubic root of 445473600 is about 763.7314188002.

The spelling of 445473600 in words is "four hundred forty-five million, four hundred seventy-three thousand, six hundred".