447301764 has 216 divisors, whose sum is σ = 1454806080. Its totient is φ = 117666432.

The previous prime is 447301741. The next prime is 447301793. The reversal of 447301764 is 467103744.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1149682 + ... + 1150070.

Almost surely, 2^447301764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447301764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727403040).

447301764 is an abundant number, since it is smaller than the sum of its proper divisors (1007504316).

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

447301764 is a wasteful number, since it uses less digits than its factorization.

447301764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 447301764 is about 21149.5097815529. The cubic root of 447301764 is about 764.7747433676.

The spelling of 447301764 in words is "four hundred forty-seven million, three hundred one thousand, seven hundred sixty-four".