450535923840 has 256 divisors, whose sum is σ = 1472555427840. Its totient is φ = 117112320000.

The previous prime is 450535923767. The next prime is 450535923847. The reversal of 450535923840 is 48329535054.

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 450535923840.

It is not an unprimeable number, because it can be changed into a prime (450535923847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22640295 + ... + 22660185.

It is an arithmetic number, because the mean of its divisors is an integer number (5752169640).

Almost surely, 2^450535923840 is an apocalyptic number.

450535923840 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 450535923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736277713920).

450535923840 is an abundant number, since it is smaller than the sum of its proper divisors (1022019504000).

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

450535923840 is a wasteful number, since it uses less digits than its factorization.

450535923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20211 (or 20199 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 450535923840 in words is "four hundred fifty billion, five hundred thirty-five million, nine hundred twenty-three thousand, eight hundred forty".