450608775840 has 192 divisors, whose sum is σ = 1660137897600. Its totient is φ = 113837985792.

The previous prime is 450608775811. The next prime is 450608775887. The reversal of 450608775840 is 48577806054.

450608775840 is a `hidden beast` number, since 4 + 50 + 6 + 0 + 8 + 7 + 7 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2662857 + ... + 2827016.

It is an arithmetic number, because the mean of its divisors is an integer number (8646551550).

Almost surely, 2^450608775840 is an apocalyptic number.

450608775840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450608775840 is an abundant number, since it is smaller than the sum of its proper divisors (1209529121760).

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

450608775840 is a wasteful number, since it uses less digits than its factorization.

450608775840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489916 (or 5489902 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

It can be divided in two parts, 45060 and 8775840, that added together give a square (8820900 = 2970²).

The spelling of 450608775840 in words is "four hundred fifty billion, six hundred eight million, seven hundred seventy-five thousand, eight hundred forty".