445807152 has 200 divisors, whose sum is σ = 1488756896. Its totient is φ = 126157824.

The previous prime is 445807123. The next prime is 445807157. The reversal of 445807152 is 251708544.

445807152 is a `hidden beast` number, since 4 + 4 + 580 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×445807152² = 397488033548702208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (445807157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1424148 + ... + 1424460.

Almost surely, 2^445807152 is an apocalyptic number.

445807152 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 445807152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744378448).

445807152 is an abundant number, since it is smaller than the sum of its proper divisors (1042949744).

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

445807152 is a wasteful number, since it uses less digits than its factorization.

445807152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 445807152 is about 21114.1457795479. The cubic root of 445807152 is about 763.9219879593.

The spelling of 445807152 in words is "four hundred forty-five million, eight hundred seven thousand, one hundred fifty-two".