452753280 has 512 divisors, whose sum is σ = 1938816000. Its totient is φ = 97542144.

The previous prime is 452753267. The next prime is 452753281. The reversal of 452753280 is 82357254.

452753280 is a `hidden beast` number, since 4 + 527 + 53 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452753281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298142 + ... + 2298338.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 2^452753280 is an apocalyptic number.

452753280 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 452753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969408000).

452753280 is an abundant number, since it is smaller than the sum of its proper divisors (1486062720).

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

452753280 is a wasteful number, since it uses less digits than its factorization.

452753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 452753280 is about 21277.9999060062. Note that the first 4 decimals coincide. The cubic root of 452753280 is about 767.8691183216.

The spelling of 452753280 in words is "four hundred fifty-two million, seven hundred fifty-three thousand, two hundred eighty".