447435072 has 252 divisors, whose sum is σ = 1517757696. Its totient is φ = 125637120.

The previous prime is 447435067. The next prime is 447435073. The reversal of 447435072 is 270534744.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447435073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2342497 + ... + 2342687.

It is an arithmetic number, because the mean of its divisors is an integer number (6022848).

Almost surely, 2^447435072 is an apocalyptic number.

447435072 is a gapful number since it is divisible by the number (42) 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 447435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758878848).

447435072 is an abundant number, since it is smaller than the sum of its proper divisors (1070322624).

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

447435072 is a wasteful number, since it uses less digits than its factorization.

447435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 447435072 is about 21152.6611091843. The cubic root of 447435072 is about 764.8507103272.

The spelling of 447435072 in words is "four hundred forty-seven million, four hundred thirty-five thousand, seventy-two".