445920552 has 256 divisors, whose sum is σ = 1568102400. Its totient is φ = 115473600.

The previous prime is 445920539. The next prime is 445920569. The reversal of 445920552 is 255029544.

445920552 is a `hidden beast` number, since 445 + 9 + 205 + 5 + 2 = 666.

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

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, 1347027 + ... + 1347357.

It is an arithmetic number, because the mean of its divisors is an integer number (6125400).

Almost surely, 2^445920552 is an apocalyptic number.

445920552 is a gapful number since it is divisible by the number (42) 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 445920552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784051200).

445920552 is an abundant number, since it is smaller than the sum of its proper divisors (1122181848).

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

445920552 is a wasteful number, since it uses less digits than its factorization.

445920552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 445920552 is about 21116.8310122518. The cubic root of 445920552 is about 763.9867554332.

The spelling of 445920552 in words is "four hundred forty-five million, nine hundred twenty thousand, five hundred fifty-two".