450066957600 has 144 divisors (see below), whose sum is σ = 1577657898432. Its totient is φ = 110785704960.

The previous prime is 450066957583. The next prime is 450066957631. The reversal of 450066957600 is 6759660054.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 450066957600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7181412 + ... + 7243811.

It is an arithmetic number, because the mean of its divisors is an integer number (10955957628).

Almost surely, 2^450066957600 is an apocalyptic number.

450066957600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450066957600 is an abundant number, since it is smaller than the sum of its proper divisors (1127590940832).

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

450066957600 is a wasteful number, since it uses less digits than its factorization.

450066957600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425259 (or 14425246 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 450066957600 in words is "four hundred fifty billion, sixty-six million, nine hundred fifty-seven thousand, six hundred".