445451040 has 144 divisors (see below), whose sum is σ = 1538828928. Its totient is φ = 117324288.

The previous prime is 445451011. The next prime is 445451047. The reversal of 445451040 is 40154544.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 445450995 and 445451013.

It is not an unprimeable number, because it can be changed into a prime (445451047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117657 + ... + 121383.

It is an arithmetic number, because the mean of its divisors is an integer number (10686312).

Almost surely, 2^445451040 is an apocalyptic number.

445451040 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 445451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769414464).

445451040 is an abundant number, since it is smaller than the sum of its proper divisors (1093377888).

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

445451040 is a wasteful number, since it uses less digits than its factorization.

445451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 445451040 is about 21105.7110754412. The cubic root of 445451040 is about 763.7185261008.

The spelling of 445451040 in words is "four hundred forty-five million, four hundred fifty-one thousand, forty".