446055840 has 144 divisors (see below), whose sum is σ = 1532637288. Its totient is φ = 118130688.

The previous prime is 446055829. The next prime is 446055881. The reversal of 446055840 is 48550644.

446055840 is a `hidden beast` number, since 4 + 4 + 60 + 558 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251285904 + 194769936 = 15852^2 + 13956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 446055795 and 446055804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225094 + ... + 227066.

Almost surely, 2^446055840 is an apocalyptic number.

446055840 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 446055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766318644).

446055840 is an abundant number, since it is smaller than the sum of its proper divisors (1086581448).

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

446055840 is a wasteful number, since it uses less digits than its factorization.

446055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 446055840 is about 21120.0340908816. The cubic root of 446055840 is about 764.0640096950.

The spelling of 446055840 in words is "four hundred forty-six million, fifty-five thousand, eight hundred forty".