450584640 has 336 divisors, whose sum is σ = 1751258880. Its totient is φ = 108979200.

The previous prime is 450584633. The next prime is 450584653. The reversal of 450584640 is 46485054.

450584640 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 8 + 4 + 640 = 666.

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 = 450584595 and 450584604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045225 + ... + 1045655.

It is an arithmetic number, because the mean of its divisors is an integer number (5212080).

Almost surely, 2^450584640 is an apocalyptic number.

450584640 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 450584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

450584640 is an abundant number, since it is smaller than the sum of its proper divisors (1300674240).

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

450584640 is a wasteful number, since it uses less digits than its factorization.

450584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 450584640 is about 21226.9790596778. The cubic root of 450584640 is about 766.6411518499.

The spelling of 450584640 in words is "four hundred fifty million, five hundred eighty-four thousand, six hundred forty".