450734240 has 96 divisors (see below), whose sum is σ = 1201858560. Its totient is φ = 158233600.

The previous prime is 450734233. The next prime is 450734257. The reversal of 450734240 is 42437054.

It is a super-2 number, since 2×450734240² = 406322710216755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46625 + ... + 55455.

It is an arithmetic number, because the mean of its divisors is an integer number (12519360).

Almost surely, 2^450734240 is an apocalyptic number.

450734240 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 450734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929280).

450734240 is an abundant number, since it is smaller than the sum of its proper divisors (751124320).

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

450734240 is a wasteful number, since it uses less digits than its factorization.

450734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 450734240 is about 21230.5025847246. The cubic root of 450734240 is about 766.7259874284.

The spelling of 450734240 in words is "four hundred fifty million, seven hundred thirty-four thousand, two hundred forty".