445467960 has 192 divisors, whose sum is σ = 1693486080. Its totient is φ = 99429120.

The previous prime is 445467947. The next prime is 445467961. The reversal of 445467960 is 69764544.

445467960 is a `hidden beast` number, since 44 + 546 + 7 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445467961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106305 + ... + 110415.

It is an arithmetic number, because the mean of its divisors is an integer number (8820240).

Almost surely, 2^445467960 is an apocalyptic number.

445467960 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 445467960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846743040).

445467960 is an abundant number, since it is smaller than the sum of its proper divisors (1248018120).

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

445467960 is a wasteful number, since it uses less digits than its factorization.

445467960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 445467960 is about 21106.1119110081. Note that the first 3 decimals coincide. The cubic root of 445467960 is about 763.7281956661.

The spelling of 445467960 in words is "four hundred forty-five million, four hundred sixty-seven thousand, nine hundred sixty".