450967440 has 320 divisors, whose sum is σ = 1820454912. Its totient is φ = 89548800.

The previous prime is 450967403. The next prime is 450967441. The reversal of 450967440 is 44769054.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (450967441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424510 + ... + 425570.

Almost surely, 2^450967440 is an apocalyptic number.

450967440 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 450967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910227456).

450967440 is an abundant number, since it is smaller than the sum of its proper divisors (1369487472).

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

450967440 is a wasteful number, since it uses less digits than its factorization.

450967440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 450967440 is about 21235.9939724987. The cubic root of 450967440 is about 766.8581936950.

The spelling of 450967440 in words is "four hundred fifty million, nine hundred sixty-seven thousand, four hundred forty".