447049728 has 156 divisors (see below), whose sum is σ = 1317833608. Its totient is φ = 145981440.

The previous prime is 447049721. The next prime is 447049747. The reversal of 447049728 is 827940744.

It is a super-3 number, since 3×447049728³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447049721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2469798 + ... + 2469978.

Almost surely, 2^447049728 is an apocalyptic number.

447049728 is a gapful number since it is divisible by the number (48) 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 447049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658916804).

447049728 is an abundant number, since it is smaller than the sum of its proper divisors (870783880).

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

447049728 is a wasteful number, since it uses less digits than its factorization.

447049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 447049728 is about 21143.5505060054. The cubic root of 447049728 is about 764.6310767601.

The spelling of 447049728 in words is "four hundred forty-seven million, forty-nine thousand, seven hundred twenty-eight".