450457920 has 336 divisors, whose sum is σ = 1726021440. Its totient is φ = 106905600.

The previous prime is 450457913. The next prime is 450457933. The reversal of 450457920 is 29754054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869000 + ... + 1869240.

Almost surely, 2^450457920 is an apocalyptic number.

450457920 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 450457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863010720).

450457920 is an abundant number, since it is smaller than the sum of its proper divisors (1275563520).

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

450457920 is a wasteful number, since it uses less digits than its factorization.

450457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 450457920 is about 21223.9939690907. The cubic root of 450457920 is about 766.5692764338.

The spelling of 450457920 in words is "four hundred fifty million, four hundred fifty-seven thousand, nine hundred twenty".