447126372 has 144 divisors (see below), whose sum is σ = 1471256640. Its totient is φ = 116121600.

The previous prime is 447126359. The next prime is 447126403. The reversal of 447126372 is 273621744.

447126372 is a `hidden beast` number, since 4 + 4 + 7 + 12 + 637 + 2 = 666.

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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54372 + ... + 62052.

It is an arithmetic number, because the mean of its divisors is an integer number (10217060).

Almost surely, 2^447126372 is an apocalyptic number.

447126372 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 447126372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735628320).

447126372 is an abundant number, since it is smaller than the sum of its proper divisors (1024130268).

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

447126372 is a wasteful number, since it uses less digits than its factorization.

447126372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719 (or 7704 counting only the distinct ones).

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

The square root of 447126372 is about 21145.3628959164. The cubic root of 447126372 is about 764.6747714035.

The spelling of 447126372 in words is "four hundred forty-seven million, one hundred twenty-six thousand, three hundred seventy-two".