445540920 has 256 divisors, whose sum is σ = 1536537600. Its totient is φ = 102359040.

The previous prime is 445540873. The next prime is 445540933. The reversal of 445540920 is 29045544.

It is a super-2 number, since 2×445540920² = 397013422788892800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3942784 + ... + 3942896.

It is an arithmetic number, because the mean of its divisors is an integer number (6002100).

Almost surely, 2^445540920 is an apocalyptic number.

445540920 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 445540920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768268800).

445540920 is an abundant number, since it is smaller than the sum of its proper divisors (1090996680).

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

445540920 is a wasteful number, since it uses less digits than its factorization.

445540920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 445540920 is about 21107.8402495376. The cubic root of 445540920 is about 763.7698885766.

The spelling of 445540920 in words is "four hundred forty-five million, five hundred forty thousand, nine hundred twenty".