447676416 has 272 divisors, whose sum is σ = 1509937920. Its totient is φ = 129761280.

The previous prime is 447676409. The next prime is 447676421. The reversal of 447676416 is 614676744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19464181 + ... + 19464203.

Almost surely, 2^447676416 is an apocalyptic number.

447676416 is a gapful number since it is divisible by the number (46) 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 447676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754968960).

447676416 is an abundant number, since it is smaller than the sum of its proper divisors (1062261504).

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

447676416 is an equidigital number, since it uses as much as digits as its factorization.

447676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 447676416 is about 21158.3651542363. The cubic root of 447676416 is about 764.9882043548.

The spelling of 447676416 in words is "four hundred forty-seven million, six hundred seventy-six thousand, four hundred sixteen".