446000472 has 128 divisors (see below), whose sum is σ = 1309440000. Its totient is φ = 140434560.

The previous prime is 446000461. The next prime is 446000507. The reversal of 446000472 is 274000644.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287154 + ... + 288702.

It is an arithmetic number, because the mean of its divisors is an integer number (10230000).

Almost surely, 2^446000472 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 446000472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720000).

446000472 is an abundant number, since it is smaller than the sum of its proper divisors (863439528).

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

446000472 is a wasteful number, since it uses less digits than its factorization.

446000472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 446000472 is about 21118.7232568638. The cubic root of 446000472 is about 764.0323944854.

The spelling of 446000472 in words is "four hundred forty-six million, four hundred seventy-two", and thus it is an aban number.