446856960 has 288 divisors, whose sum is σ = 1589414400. Its totient is φ = 106086400.

The previous prime is 446856959. The next prime is 446856961. The reversal of 446856960 is 69658644.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (446856959) and next prime (446856961).

It is a super-2 number, since 2×446856960² = 399362285400883200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446856961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998966 + ... + 2999114.

It is an arithmetic number, because the mean of its divisors is an integer number (5518800).

Almost surely, 2^446856960 is an apocalyptic number.

446856960 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 446856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794707200).

446856960 is an abundant number, since it is smaller than the sum of its proper divisors (1142557440).

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

446856960 is a wasteful number, since it uses less digits than its factorization.

446856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 446856960 is about 21138.9914612784. The cubic root of 446856960 is about 764.5211578964.

The spelling of 446856960 in words is "four hundred forty-six million, eight hundred fifty-six thousand, nine hundred sixty".