452082400 has 288 divisors, whose sum is σ = 1417409280. Its totient is φ = 136704000.

The previous prime is 452082361. The next prime is 452082401. The reversal of 452082400 is 4280254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452082401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2525511 + ... + 2525689.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^452082400 is an apocalyptic number.

452082400 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 452082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708704640).

452082400 is an abundant number, since it is smaller than the sum of its proper divisors (965326880).

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

452082400 is a wasteful number, since it uses less digits than its factorization.

452082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 452082400 is about 21262.2294221467. The cubic root of 452082400 is about 767.4896602285.

The spelling of 452082400 in words is "four hundred fifty-two million, eighty-two thousand, four hundred".