450987264 has 360 divisors, whose sum is σ = 1662017280. Its totient is φ = 118444032.

The previous prime is 450987263. The next prime is 450987269. The reversal of 450987264 is 462789054.

It is a happy number.

450987264 is a `hidden beast` number, since 4 + 509 + 87 + 2 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450987263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886857 + ... + 1887095.

Almost surely, 2^450987264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831008640).

450987264 is an abundant number, since it is smaller than the sum of its proper divisors (1211030016).

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

450987264 is a wasteful number, since it uses less digits than its factorization.

450987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 450987264 is about 21236.4607220695. The cubic root of 450987264 is about 766.8694302595.

The spelling of 450987264 in words is "four hundred fifty million, nine hundred eighty-seven thousand, two hundred sixty-four".