450475568640 has 320 divisors, whose sum is σ = 1601497497600. Its totient is φ = 120023949312.

The previous prime is 450475568629. The next prime is 450475568651. The reversal of 450475568640 is 46865574054.

450475568640 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 7 + 556 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (450475568629) and next prime (450475568651).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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, 114944601 + ... + 114948519.

It is an arithmetic number, because the mean of its divisors is an integer number (5004679680).

Almost surely, 2^450475568640 is an apocalyptic number.

450475568640 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 450475568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800748748800).

450475568640 is an abundant number, since it is smaller than the sum of its proper divisors (1151021928960).

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

450475568640 is a wasteful number, since it uses less digits than its factorization.

450475568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 450475568640 in words is "four hundred fifty billion, four hundred seventy-five million, five hundred sixty-eight thousand, six hundred forty".