450122400 has 576 divisors, whose sum is σ = 2012371200. Its totient is φ = 94556160.

The previous prime is 450122377. The next prime is 450122411. The reversal of 450122400 is 4221054.

It is a super-2 number, since 2×450122400² = 405220349963520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1965486 + ... + 1965714.

It is an arithmetic number, because the mean of its divisors is an integer number (3493700).

Almost surely, 2^450122400 is an apocalyptic number.

450122400 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 450122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006185600).

450122400 is an abundant number, since it is smaller than the sum of its proper divisors (1562248800).

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

450122400 is a wasteful number, since it uses less digits than its factorization.

450122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 450122400 is about 21216.0882351106. The cubic root of 450122400 is about 766.3789048170.

Adding to 450122400 its reverse (4221054), we get a palindrome (454343454).

The spelling of 450122400 in words is "four hundred fifty million, one hundred twenty-two thousand, four hundred".