445955662400 has 168 divisors, whose sum is σ = 1107985941504. Its totient is φ = 176658534400.

The previous prime is 445955662381. The next prime is 445955662463. The reversal of 445955662400 is 4266559544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71201669 + ... + 71207931.

Almost surely, 2^445955662400 is an apocalyptic number.

445955662400 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 445955662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553992970752).

445955662400 is an abundant number, since it is smaller than the sum of its proper divisors (662030279104).

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

445955662400 is a wasteful number, since it uses less digits than its factorization.

445955662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 445955662400 in words is "four hundred forty-five billion, nine hundred fifty-five million, six hundred sixty-two thousand, four hundred".