446640480 has 480 divisors, whose sum is σ = 1859524128. Its totient is φ = 99532800.

The previous prime is 446640461. The next prime is 446640497. The reversal of 446640480 is 84046644.

446640480 is a `hidden beast` number, since 4 + 4 + 6 + 640 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1853160 + ... + 1853400.

Almost surely, 2^446640480 is an apocalyptic number.

446640480 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 446640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929762064).

446640480 is an abundant number, since it is smaller than the sum of its proper divisors (1412883648).

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

446640480 is a wasteful number, since it uses less digits than its factorization.

446640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 446640480 is about 21133.8704453302. The cubic root of 446640480 is about 764.3976804466.

The spelling of 446640480 in words is "four hundred forty-six million, six hundred forty thousand, four hundred eighty".