447258240 has 512 divisors, whose sum is σ = 1871251200. Its totient is φ = 99532800.

The previous prime is 447258221. The next prime is 447258277. The reversal of 447258240 is 42852744.

447258240 is a `hidden beast` number, since 4 + 4 + 72 + 582 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 447258195 and 447258204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470950 + ... + 2471130.

Almost surely, 2^447258240 is an apocalyptic number.

447258240 is a gapful number since it is divisible by the number (40) 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 447258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).

447258240 is an abundant number, since it is smaller than the sum of its proper divisors (1423992960).

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

447258240 is a wasteful number, since it uses less digits than its factorization.

447258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 447258240 is about 21148.4807965017. The cubic root of 447258240 is about 764.7499374921.

The spelling of 447258240 in words is "four hundred forty-seven million, two hundred fifty-eight thousand, two hundred forty".