450834960 has 240 divisors, whose sum is σ = 1510778304. Its totient is φ = 111141888.

The previous prime is 450834959. The next prime is 450834961. The reversal of 450834960 is 69438054.

It is an interprime number because it is at equal distance from previous prime (450834959) and next prime (450834961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×450834960² = 406504322316403200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450834961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6728847 + ... + 6728913.

Almost surely, 2^450834960 is an apocalyptic number.

450834960 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 450834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755389152).

450834960 is an abundant number, since it is smaller than the sum of its proper divisors (1059943344).

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

450834960 is a wasteful number, since it uses less digits than its factorization.

450834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 450834960 is about 21232.8745110030. The cubic root of 450834960 is about 766.7830934295.

The spelling of 450834960 in words is "four hundred fifty million, eight hundred thirty-four thousand, nine hundred sixty".