453632400 has 360 divisors, whose sum is σ = 1763012160. Its totient is φ = 111352320.

The previous prime is 453632371. The next prime is 453632401. The reversal of 453632400 is 4236354.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (453632401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263421 + ... + 1263779.

It is an arithmetic number, because the mean of its divisors is an integer number (4897256).

Almost surely, 2^453632400 is an apocalyptic number.

453632400 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 453632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881506080).

453632400 is an abundant number, since it is smaller than the sum of its proper divisors (1309379760).

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

453632400 is a wasteful number, since it uses less digits than its factorization.

453632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 453632400 is about 21298.6478444055. The cubic root of 453632400 is about 768.3657925450.

Adding to 453632400 its reverse (4236354), we get a palindrome (457868754).

The spelling of 453632400 in words is "four hundred fifty-three million, six hundred thirty-two thousand, four hundred".