450291747840 has 352 divisors, whose sum is σ = 1639485467136. Its totient is φ = 104414576640.

The previous prime is 450291747827. The next prime is 450291747883. The reversal of 450291747840 is 48747192054.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3828144 + ... + 3944016.

It is an arithmetic number, because the mean of its divisors is an integer number (4657629168).

Almost surely, 2^450291747840 is an apocalyptic number.

450291747840 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 450291747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819742733568).

450291747840 is an abundant number, since it is smaller than the sum of its proper divisors (1189193719296).

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

450291747840 is a wasteful number, since it uses less digits than its factorization.

450291747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115935 (or 115917 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 450291747840 in words is "four hundred fifty billion, two hundred ninety-one million, seven hundred forty-seven thousand, eight hundred forty".