450656920 has 96 divisors (see below), whose sum is σ = 1217738880. Its totient is φ = 149506560.

The previous prime is 450656879. The next prime is 450656989. The reversal of 450656920 is 29656054.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 450656920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57052 + ... + 64468.

It is an arithmetic number, because the mean of its divisors is an integer number (12684780).

Almost surely, 2^450656920 is an apocalyptic number.

450656920 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 450656920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608869440).

450656920 is an abundant number, since it is smaller than the sum of its proper divisors (767081960).

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

450656920 is a wasteful number, since it uses less digits than its factorization.

450656920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473 (or 7462 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 450656920 is about 21228.6815417256. The cubic root of 450656920 is about 766.6821429348.

The spelling of 450656920 in words is "four hundred fifty million, six hundred fifty-six thousand, nine hundred twenty".