452485440 has 504 divisors, whose sum is σ = 1840614048. Its totient is φ = 104924160.

The previous prime is 452485427. The next prime is 452485441. The reversal of 452485440 is 44584254.

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

It is a junction number, because it is equal to n+sod(n) for n = 452485395 and 452485404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452485441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19673269 + ... + 19673291.

It is an arithmetic number, because the mean of its divisors is an integer number (3652012).

Almost surely, 2^452485440 is an apocalyptic number.

452485440 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 452485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920307024).

452485440 is an abundant number, since it is smaller than the sum of its proper divisors (1388128608).

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

452485440 is a wasteful number, since it uses less digits than its factorization.

452485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 452485440 is about 21271.7051502695. The cubic root of 452485440 is about 767.7176696606.

The spelling of 452485440 in words is "four hundred fifty-two million, four hundred eighty-five thousand, four hundred forty".