452129640 has 128 divisors (see below), whose sum is σ = 1411776000. Its totient is φ = 115734528.

The previous prime is 452129593. The next prime is 452129641. The reversal of 452129640 is 46921254.

It is a super-2 number, since 2×452129640² = 408842422733059200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (452129641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350116 + ... + 351404.

It is an arithmetic number, because the mean of its divisors is an integer number (11029500).

Almost surely, 2^452129640 is an apocalyptic number.

452129640 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 452129640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705888000).

452129640 is an abundant number, since it is smaller than the sum of its proper divisors (959646360).

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

452129640 is a wasteful number, since it uses less digits than its factorization.

452129640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 452129640 is about 21263.3402832198. The cubic root of 452129640 is about 767.5163920431.

The spelling of 452129640 in words is "four hundred fifty-two million, one hundred twenty-nine thousand, six hundred forty".