452722800 has 240 divisors, whose sum is σ = 1549900800. Its totient is φ = 112696320.

The previous prime is 452722723. The next prime is 452722807. The reversal of 452722800 is 8227254.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452722807) 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, 1297026 + ... + 1297374.

It is an arithmetic number, because the mean of its divisors is an integer number (6457920).

Almost surely, 2^452722800 is an apocalyptic number.

452722800 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 452722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774950400).

452722800 is an abundant number, since it is smaller than the sum of its proper divisors (1097178000).

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

452722800 is a wasteful number, since it uses less digits than its factorization.

452722800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 452722800 is about 21277.2836612195. The cubic root of 452722800 is about 767.8518865848.

The spelling of 452722800 in words is "four hundred fifty-two million, seven hundred twenty-two thousand, eight hundred".