447282051840 has 1296 divisors, whose sum is σ = 1777638739968. Its totient is φ = 107602919424.

The previous prime is 447282051829. The next prime is 447282051863. The reversal of 447282051840 is 48150282744.

447282051840 is a `hidden beast` number, since 4 + 4 + 72 + 8 + 20 + 518 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×447282051840² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3521905857 + ... + 3521905983.

Almost surely, 2^447282051840 is an apocalyptic number.

447282051840 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 447282051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888819369984).

447282051840 is an abundant number, since it is smaller than the sum of its proper divisors (1330356688128).

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

447282051840 is a wasteful number, since it uses less digits than its factorization.

447282051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 447282051840 in words is "four hundred forty-seven billion, two hundred eighty-two million, fifty-one thousand, eight hundred forty".