447505264 has 40 divisors (see below), whose sum is σ = 902799360. Its totient is φ = 214626048.

The previous prime is 447505249. The next prime is 447505307. The reversal of 447505264 is 462505744.

It is a super-2 number, since 2×447505264² = 400521922615419392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69777 + ... + 75919.

It is an arithmetic number, because the mean of its divisors is an integer number (22569984).

Almost surely, 2^447505264 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 447505264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451399680).

447505264 is an abundant number, since it is smaller than the sum of its proper divisors (455294096).

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

447505264 is a wasteful number, since it uses less digits than its factorization.

447505264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The square root of 447505264 is about 21154.3202207020. The cubic root of 447505264 is about 764.8907039094.

It can be divided in two parts, 44750526 and 4, that added together give a triangular number (44750530 = T₉₄₆₀).

The spelling of 447505264 in words is "four hundred forty-seven million, five hundred five thousand, two hundred sixty-four".