450264240 has 60 divisors (see below), whose sum is σ = 1512139824. Its totient is φ = 120070272.

The previous prime is 450264103. The next prime is 450264247. The reversal of 450264240 is 42462054.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (450264247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311964 + ... + 313403.

Almost surely, 2^450264240 is an apocalyptic number.

450264240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450264240 is an abundant number, since it is smaller than the sum of its proper divisors (1061875584).

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

450264240 is a wasteful number, since it uses less digits than its factorization.

450264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625386 (or 625377 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 450264240 is about 21219.4307180942. The cubic root of 450264240 is about 766.4593953442.

The spelling of 450264240 in words is "four hundred fifty million, two hundred sixty-four thousand, two hundred forty".