453008640 has 288 divisors, whose sum is σ = 1742469120. Its totient is φ = 97984512.

The previous prime is 453008617. The next prime is 453008651. The reversal of 453008640 is 46800354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 453008598 and 453008607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510277 + ... + 511163.

It is an arithmetic number, because the mean of its divisors is an integer number (6050240).

Almost surely, 2^453008640 is an apocalyptic number.

453008640 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 453008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871234560).

453008640 is an abundant number, since it is smaller than the sum of its proper divisors (1289460480).

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

453008640 is a wasteful number, since it uses less digits than its factorization.

453008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 453008640 is about 21283.9996241308. Note that the first 3 decimals coincide. The cubic root of 453008640 is about 768.0134546254.

Adding to 453008640 its reverse (46800354), we get a palindrome (499808994).

The spelling of 453008640 in words is "four hundred fifty-three million, eight thousand, six hundred forty".