452059440 has 160 divisors (see below), whose sum is σ = 1640894976. Its totient is φ = 100792320.

The previous prime is 452059423. The next prime is 452059441. The reversal of 452059440 is 44950254.

It is a super-2 number, since 2×452059440² = 408715474586227200, which contains 22 as substring.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (452059441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65599 + ... + 72161.

Almost surely, 2^452059440 is an apocalyptic number.

452059440 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 452059440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820447488).

452059440 is an abundant number, since it is smaller than the sum of its proper divisors (1188835536).

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

452059440 is a wasteful number, since it uses less digits than its factorization.

452059440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 452059440 is about 21261.6894907249. The cubic root of 452059440 is about 767.4766671244.

It can be divided in two parts, 45205 and 9440, that added together give a palindrome (54645).

The spelling of 452059440 in words is "four hundred fifty-two million, fifty-nine thousand, four hundred forty".