445339440 has 360 divisors, whose sum is σ = 1875536208. Its totient is φ = 93864960.

The previous prime is 445339421. The next prime is 445339451. The reversal of 445339440 is 44933544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 445339395 and 445339404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458155 + ... + 459125.

Almost surely, 2^445339440 is an apocalyptic number.

445339440 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 445339440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937768104).

445339440 is an abundant number, since it is smaller than the sum of its proper divisors (1430196768).

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

445339440 is a wasteful number, since it uses less digits than its factorization.

445339440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 445339440 is about 21103.0670756646. The cubic root of 445339440 is about 763.6547419819.

The spelling of 445339440 in words is "four hundred forty-five million, three hundred thirty-nine thousand, four hundred forty".