445461640 has 64 divisors (see below), whose sum is σ = 1087329600. Its totient is φ = 163268352.

The previous prime is 445461637. The next prime is 445461647. The reversal of 445461640 is 46164544.

It is a super-2 number, since 2×445461640² = 396872145422979200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445461596 and 445461605.

It is not an unprimeable number, because it can be changed into a prime (445461647) 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, 69199 + ... + 75361.

It is an arithmetic number, because the mean of its divisors is an integer number (16989525).

Almost surely, 2^445461640 is an apocalyptic number.

445461640 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 445461640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543664800).

445461640 is an abundant number, since it is smaller than the sum of its proper divisors (641867960).

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

445461640 is a wasteful number, since it uses less digits than its factorization.

445461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 445461640 is about 21105.9621908123. The cubic root of 445461640 is about 763.7245838950.

The spelling of 445461640 in words is "four hundred forty-five million, four hundred sixty-one thousand, six hundred forty".