450972422400 has 216 divisors, whose sum is σ = 1490658376480. Its totient is φ = 120068997120.

The previous prime is 450972422377. The next prime is 450972422419. The reversal of 450972422400 is 4224279054.

It is a super-2 number, since 2×450972422400² (a number of 24 digits) contains 22 as substring.

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, 12327336 + ... + 12363864.

Almost surely, 2^450972422400 is an apocalyptic number.

450972422400 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 450972422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745329188240).

450972422400 is an abundant number, since it is smaller than the sum of its proper divisors (1039685954080).

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

450972422400 is a wasteful number, since it uses less digits than its factorization.

450972422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37201 (or 37182 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 450972422400 in words is "four hundred fifty billion, nine hundred seventy-two million, four hundred twenty-two thousand, four hundred".