447667440 has 160 divisors (see below), whose sum is σ = 1555186176. Its totient is φ = 105569280.

The previous prime is 447667439. The next prime is 447667457. The reversal of 447667440 is 44766744.

It is a super-2 number, since 2×447667440² = 400812273672307200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 447667392 and 447667401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95389 + ... + 99971.

Almost surely, 2^447667440 is an apocalyptic number.

447667440 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 447667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777593088).

447667440 is an abundant number, since it is smaller than the sum of its proper divisors (1107518736).

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

447667440 is a wasteful number, since it uses less digits than its factorization.

447667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 447667440 is about 21158.1530384861. The cubic root of 447667440 is about 764.9830915995.

The spelling of 447667440 in words is "four hundred forty-seven million, six hundred sixty-seven thousand, four hundred forty".