446225760 has 288 divisors, whose sum is σ = 1651104000. Its totient is φ = 113591808.

The previous prime is 446225753. The next prime is 446225761. The reversal of 446225760 is 67522644.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446225761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893991 + ... + 894489.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2^446225760 is an apocalyptic number.

446225760 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 446225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

446225760 is an abundant number, since it is smaller than the sum of its proper divisors (1204878240).

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

446225760 is a wasteful number, since it uses less digits than its factorization.

446225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 446225760 is about 21124.0564286313. The cubic root of 446225760 is about 764.1610179338.

It can be divided in two parts, 446225 and 760, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 446225760 in words is "four hundred forty-six million, two hundred twenty-five thousand, seven hundred sixty".