450960531840 has 1536 divisors, whose sum is σ = 2041216329600. Its totient is φ = 93231710208.

The previous prime is 450960531839. The next prime is 450960531859. The reversal of 450960531840 is 48135069054.

450960531840 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 605 + 31 + 8 + 4 + 0 = 666.

450960531840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 583389694 + ... + 583390466.

Almost surely, 2^450960531840 is an apocalyptic number.

450960531840 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 450960531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020608164800).

450960531840 is an abundant number, since it is smaller than the sum of its proper divisors (1590255797760).

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

450960531840 is a wasteful number, since it uses less digits than its factorization.

450960531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 450960531840 in words is "four hundred fifty billion, nine hundred sixty million, five hundred thirty-one thousand, eight hundred forty".