450132148400 has 180 divisors, whose sum is σ = 1191651724200. Its totient is φ = 163277030400.

The previous prime is 450132148363. The next prime is 450132148447. The reversal of 450132148400 is 4841231054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19784231 + ... + 19806969.

Almost surely, 2^450132148400 is an apocalyptic number.

450132148400 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 450132148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595825862100).

450132148400 is an abundant number, since it is smaller than the sum of its proper divisors (741519575800).

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

450132148400 is a wasteful number, since it uses less digits than its factorization.

450132148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23188 (or 23166 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 450132148400 its reverse (4841231054), we get a palindrome (454973379454).

The spelling of 450132148400 in words is "four hundred fifty billion, one hundred thirty-two million, one hundred forty-eight thousand, four hundred".