453661600 has 216 divisors, whose sum is σ = 1314478368. Its totient is φ = 152409600.

The previous prime is 453661589. The next prime is 453661603. The reversal of 453661600 is 6166354.

It is not an unprimeable number, because it can be changed into a prime (453661603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2783119 + ... + 2783281.

It is an arithmetic number, because the mean of its divisors is an integer number (6085548).

Almost surely, 2^453661600 is an apocalyptic number.

453661600 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 453661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657239184).

453661600 is an abundant number, since it is smaller than the sum of its proper divisors (860816768).

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

453661600 is a wasteful number, since it uses less digits than its factorization.

453661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 453661600 is about 21299.3333229000. Note that the first 4 decimals coincide. The cubic root of 453661600 is about 768.3822785807.

The spelling of 453661600 in words is "four hundred fifty-three million, six hundred sixty-one thousand, six hundred".