446730480 has 240 divisors, whose sum is σ = 1728889344. Its totient is φ = 101260800.

The previous prime is 446730433. The next prime is 446730497. The reversal of 446730480 is 84037644.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×446730480² = 399136243522060800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760747 + ... + 761333.

Almost surely, 2^446730480 is an apocalyptic number.

446730480 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 446730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864444672).

446730480 is an abundant number, since it is smaller than the sum of its proper divisors (1282158864).

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

446730480 is a wasteful number, since it uses less digits than its factorization.

446730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 446730480 is about 21135.9996214989. Note that the first 3 decimals coincide. The cubic root of 446730480 is about 764.4490201512.

The spelling of 446730480 in words is "four hundred forty-six million, seven hundred thirty thousand, four hundred eighty".