452661440 has 112 divisors (see below), whose sum is σ = 1343948544. Its totient is φ = 141081600.

The previous prime is 452661439. The next prime is 452661479. The reversal of 452661440 is 44166254.

452661440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 452661397 and 452661406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15455 + ... + 33825.

Almost surely, 2^452661440 is an apocalyptic number.

452661440 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 452661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671974272).

452661440 is an abundant number, since it is smaller than the sum of its proper divisors (891287104).

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

452661440 is a wasteful number, since it uses less digits than its factorization.

452661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18406 (or 18396 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 452661440 is about 21275.8416989787. The cubic root of 452661440 is about 767.8171946273.

The spelling of 452661440 in words is "four hundred fifty-two million, six hundred sixty-one thousand, four hundred forty".