446779440 has 240 divisors, whose sum is σ = 1593636096. Its totient is φ = 111974400.

The previous prime is 446779391. The next prime is 446779451. The reversal of 446779440 is 44977644.

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

It is a super-2 number, since 2×446779440² = 399223736013427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825570 + ... + 826110.

Almost surely, 2^446779440 is an apocalyptic number.

446779440 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 446779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796818048).

446779440 is an abundant number, since it is smaller than the sum of its proper divisors (1146856656).

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

446779440 is a wasteful number, since it uses less digits than its factorization.

446779440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 446779440 is about 21137.1578032620. The cubic root of 446779440 is about 764.4769460547.

The spelling of 446779440 in words is "four hundred forty-six million, seven hundred seventy-nine thousand, four hundred forty".