450948960 has 576 divisors, whose sum is σ = 1981324800. Its totient is φ = 92574720.

The previous prime is 450948913. The next prime is 450948991. The reversal of 450948960 is 69849054.

It is a happy number.

450948960 is a `hidden beast` number, since 4 + 509 + 4 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5433079 + ... + 5433161.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^450948960 is an apocalyptic number.

450948960 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 450948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

450948960 is an abundant number, since it is smaller than the sum of its proper divisors (1530375840).

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

450948960 is a wasteful number, since it uses less digits than its factorization.

450948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 450948960 is about 21235.5588577273. The cubic root of 450948960 is about 766.8477186350.

The spelling of 450948960 in words is "four hundred fifty million, nine hundred forty-eight thousand, nine hundred sixty".