447614080 has 64 divisors (see below), whose sum is σ = 1133050680. Its totient is φ = 168509440.

The previous prime is 447614071. The next prime is 447614087. The reversal of 447614080 is 80416744.

It can be written as a sum of positive squares in 4 ways, for example, as 413227584 + 34386496 = 20328^2 + 5864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×447614080² = 400716729228492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (447614087) 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 7 ways as a sum of consecutive naturals, for example, 9691 + ... + 31450.

Almost surely, 2^447614080 is an apocalyptic number.

447614080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447614080 is an abundant number, since it is smaller than the sum of its proper divisors (685436600).

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

447614080 is a wasteful number, since it uses less digits than its factorization.

447614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41177 (or 41165 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 447614080 is about 21156.8920212776. The cubic root of 447614080 is about 764.9526961794.

It can be divided in two parts, 44761 and 4080, that added together give a square (48841 = 221²).

The spelling of 447614080 in words is "four hundred forty-seven million, six hundred fourteen thousand, eighty".