450418805760 has 704 divisors, whose sum is σ = 1802697329664. Its totient is φ = 93251174400.

The previous prime is 450418805737. The next prime is 450418805779. The reversal of 450418805760 is 67508814054.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441154050 + ... + 441155070.

It is an arithmetic number, because the mean of its divisors is an integer number (2560649616).

Almost surely, 2^450418805760 is an apocalyptic number.

450418805760 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 450418805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901348664832).

450418805760 is an abundant number, since it is smaller than the sum of its proper divisors (1352278523904).

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

450418805760 is a wasteful number, since it uses less digits than its factorization.

450418805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 450418805760 in words is "four hundred fifty billion, four hundred eighteen million, eight hundred five thousand, seven hundred sixty".