450346091520 has 352 divisors, whose sum is σ = 1642463803008. Its totient is φ = 104332787712.

The previous prime is 450346091509. The next prime is 450346091579. The reversal of 450346091520 is 25190643054.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3328227 + ... + 3460893.

Almost surely, 2^450346091520 is an apocalyptic number.

450346091520 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 450346091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821231901504).

450346091520 is an abundant number, since it is smaller than the sum of its proper divisors (1192117711488).

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

450346091520 is a wasteful number, since it uses less digits than its factorization.

450346091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132725 (or 132707 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 450346091520 in words is "four hundred fifty billion, three hundred forty-six million, ninety-one thousand, five hundred twenty".