453745600 has 336 divisors, whose sum is σ = 1451335680. Its totient is φ = 135475200.

The previous prime is 453745573. The next prime is 453745619. The reversal of 453745600 is 6547354.

It is a happy number.

It is a super-3 number, since 3×453745600³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3572737 + ... + 3572863.

Almost surely, 2^453745600 is an apocalyptic number.

453745600 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 453745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725667840).

453745600 is an abundant number, since it is smaller than the sum of its proper divisors (997590080).

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

453745600 is a wasteful number, since it uses less digits than its factorization.

453745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 453745600 is about 21301.3051243345. The cubic root of 453745600 is about 768.4297002184.

The spelling of 453745600 in words is "four hundred fifty-three million, seven hundred forty-five thousand, six hundred".