445345320 has 384 divisors, whose sum is σ = 1684281600. Its totient is φ = 93671424.

The previous prime is 445345301. The next prime is 445345331. The reversal of 445345320 is 23543544.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5003836 + ... + 5003924.

It is an arithmetic number, because the mean of its divisors is an integer number (4386150).

Almost surely, 2^445345320 is an apocalyptic number.

445345320 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 445345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842140800).

445345320 is an abundant number, since it is smaller than the sum of its proper divisors (1238936280).

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

445345320 is a wasteful number, since it uses less digits than its factorization.

445345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 445345320 is about 21103.2063914468. The cubic root of 445345320 is about 763.6581029165.

Adding to 445345320 its reverse (23543544), we get a palindrome (468888864).

The spelling of 445345320 in words is "four hundred forty-five million, three hundred forty-five thousand, three hundred twenty".