452649840 has 160 divisors (see below), whose sum is σ = 1451532096. Its totient is φ = 116613120.

The previous prime is 452649811. The next prime is 452649889. The reversal of 452649840 is 48946254.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 452649792 and 452649801.

It is a congruent number.

It is an unprimeable number.

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, 1544734 + ... + 1545026.

Almost surely, 2^452649840 is an apocalyptic number.

452649840 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 452649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725766048).

452649840 is an abundant number, since it is smaller than the sum of its proper divisors (998882256).

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

452649840 is a wasteful number, since it uses less digits than its factorization.

452649840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 452649840 is about 21275.5690875708. The cubic root of 452649840 is about 767.8106358214.

The spelling of 452649840 in words is "four hundred fifty-two million, six hundred forty-nine thousand, eight hundred forty".