453138502400 has 216 divisors, whose sum is σ = 1179958071600. Its totient is φ = 172034867200.

The previous prime is 453138502361. The next prime is 453138502417. The reversal of 453138502400 is 4205831354.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10929710 + ... + 10971090.

It is an arithmetic number, because the mean of its divisors is an integer number (5462768850).

Almost surely, 2^453138502400 is an apocalyptic number.

453138502400 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 453138502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589979035800).

453138502400 is an abundant number, since it is smaller than the sum of its proper divisors (726819569200).

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

453138502400 is a wasteful number, since it uses less digits than its factorization.

453138502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41495 (or 41476 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 453138502400 in words is "four hundred fifty-three billion, one hundred thirty-eight million, five hundred two thousand, four hundred".