445868069400 has 576 divisors, whose sum is σ = 1676521267200. Its totient is φ = 108859645440.

The previous prime is 445868069389. The next prime is 445868069417. The reversal of 445868069400 is 4960868544.

445868069400 is a `hidden beast` number, since 445 + 86 + 80 + 6 + 9 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115898277 + ... + 115902123.

It is an arithmetic number, because the mean of its divisors is an integer number (2910627200).

Almost surely, 2^445868069400 is an apocalyptic number.

445868069400 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 445868069400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838260633600).

445868069400 is an abundant number, since it is smaller than the sum of its proper divisors (1230653197800).

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

445868069400 is a wasteful number, since it uses less digits than its factorization.

445868069400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 445868069400 in words is "four hundred forty-five billion, eight hundred sixty-eight million, sixty-nine thousand, four hundred".