445615440 has 80 divisors (see below), whose sum is σ = 1386601728. Its totient is φ = 118384128.

The previous prime is 445615439. The next prime is 445615477. The reversal of 445615440 is 44516544.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63129 + ... + 69831.

Almost surely, 2^445615440 is an apocalyptic number.

445615440 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 445615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693300864).

445615440 is an abundant number, since it is smaller than the sum of its proper divisors (940986288).

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

445615440 is a wasteful number, since it uses less digits than its factorization.

445615440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 445615440 is about 21109.6053965961. The cubic root of 445615440 is about 763.8124682490.

The spelling of 445615440 in words is "four hundred forty-five million, six hundred fifteen thousand, four hundred forty".