452221440 has 320 divisors, whose sum is σ = 1622788992. Its totient is φ = 106496000.

The previous prime is 452221439. The next prime is 452221453. The reversal of 452221440 is 44122254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 452221440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4477390 + ... + 4477490.

Almost surely, 2^452221440 is an apocalyptic number.

452221440 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 452221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811394496).

452221440 is an abundant number, since it is smaller than the sum of its proper divisors (1170567552).

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

452221440 is a wasteful number, since it uses less digits than its factorization.

452221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 452221440 is about 21265.4988185088. The cubic root of 452221440 is about 767.5683338097.

Adding to 452221440 its reverse (44122254), we get a palindrome (496343694).

It can be divided in two parts, 4522214 and 40, that added together give a palindrome (4522254).

The spelling of 452221440 in words is "four hundred fifty-two million, two hundred twenty-one thousand, four hundred forty".