445049640 has 384 divisors, whose sum is σ = 1777950720. Its totient is φ = 97977600.

The previous prime is 445049623. The next prime is 445049641. The reversal of 445049640 is 46940544.

445049640 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 4 + 9 + 640 = 666.

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 = 445049595 and 445049604.

It is not an unprimeable number, because it can be changed into a prime (445049641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2109135 + ... + 2109345.

It is an arithmetic number, because the mean of its divisors is an integer number (4630080).

Almost surely, 2^445049640 is an apocalyptic number.

445049640 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 445049640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888975360).

445049640 is an abundant number, since it is smaller than the sum of its proper divisors (1332901080).

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

445049640 is a wasteful number, since it uses less digits than its factorization.

445049640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 445049640 is about 21096.1996577583. The cubic root of 445049640 is about 763.4890592494.

The spelling of 445049640 in words is "four hundred forty-five million, forty-nine thousand, six hundred forty".