450115744320 has 504 divisors, whose sum is σ = 1746018563328. Its totient is φ = 105443020800.

The previous prime is 450115744259. The next prime is 450115744321. The reversal of 450115744320 is 23447511054.

450115744320 is a `hidden beast` number, since 4 + 50 + 1 + 1 + 574 + 4 + 32 + 0 = 666.

It is a super-2 number, since 2×450115744320² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450115744321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 664867822 + ... + 664868498.

Almost surely, 2^450115744320 is an apocalyptic number.

450115744320 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 450115744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873009281664).

450115744320 is an abundant number, since it is smaller than the sum of its proper divisors (1295902819008).

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

450115744320 is a wasteful number, since it uses less digits than its factorization.

450115744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 450115744320 in words is "four hundred fifty billion, one hundred fifteen million, seven hundred forty-four thousand, three hundred twenty".