446478090240 has 1632 divisors, whose sum is σ = 1927888736256. Its totient is φ = 87199580160.

The previous prime is 446478090239. The next prime is 446478090341. The reversal of 446478090240 is 42090874644.

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

It is a self number, because there is not a number n which added to its sum of digits gives 446478090240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14402519025 + ... + 14402519055.

Almost surely, 2^446478090240 is an apocalyptic number.

446478090240 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 446478090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963944368128).

446478090240 is an abundant number, since it is smaller than the sum of its proper divisors (1481410646016).

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

446478090240 is a wasteful number, since it uses less digits than its factorization.

446478090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 446478090240 in words is "four hundred forty-six billion, four hundred seventy-eight million, ninety thousand, two hundred forty".