445962240 has 192 divisors, whose sum is σ = 1586239200. Its totient is φ = 118849536.

The previous prime is 445962239. The next prime is 445962247. The reversal of 445962240 is 42269544.

445962240 is a `hidden beast` number, since 4 + 4 + 596 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 445962195 and 445962204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445962247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275674 + ... + 277286.

Almost surely, 2^445962240 is an apocalyptic number.

445962240 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 445962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793119600).

445962240 is an abundant number, since it is smaller than the sum of its proper divisors (1140276960).

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

445962240 is a wasteful number, since it uses less digits than its factorization.

445962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1623 counting only the distinct ones).

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

The square root of 445962240 is about 21117.8180691093. The cubic root of 445962240 is about 764.0105624299.

The spelling of 445962240 in words is "four hundred forty-five million, nine hundred sixty-two thousand, two hundred forty".