447152640 has 320 divisors, whose sum is σ = 1602754560. Its totient is φ = 105431040.

The previous prime is 447152617. The next prime is 447152647. The reversal of 447152640 is 46251744.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (447152647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5660121 + ... + 5660199.

It is an arithmetic number, because the mean of its divisors is an integer number (5008608).

Almost surely, 2^447152640 is an apocalyptic number.

447152640 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 447152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801377280).

447152640 is an abundant number, since it is smaller than the sum of its proper divisors (1155601920).

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

447152640 is a wasteful number, since it uses less digits than its factorization.

447152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 447152640 is about 21145.9840158835. The cubic root of 447152640 is about 764.6897456068.

The spelling of 447152640 in words is "four hundred forty-seven million, one hundred fifty-two thousand, six hundred forty".