450312240 has 80 divisors (see below), whose sum is σ = 1595397888. Its totient is φ = 102928128.

The previous prime is 450312223. The next prime is 450312263. The reversal of 450312240 is 42213054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×450312240² = 405562226987635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 132342 + ... + 135701.

Almost surely, 2^450312240 is an apocalyptic number.

450312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450312240 is an abundant number, since it is smaller than the sum of its proper divisors (1145085648).

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

450312240 is a wasteful number, since it uses less digits than its factorization.

450312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268066 (or 268060 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 450312240 is about 21220.5617267781. The cubic root of 450312240 is about 766.4866302731.

Adding to 450312240 its reverse (42213054), we get a palindrome (492525294).

The spelling of 450312240 in words is "four hundred fifty million, three hundred twelve thousand, two hundred forty".