450737749980 has 576 divisors, whose sum is σ = 1645409525760. Its totient is φ = 101450486016.

The previous prime is 450737749967. The next prime is 450737749991. The reversal of 450737749980 is 89947737054.

450737749980 is a `hidden beast` number, since 4 + 5 + 0 + 73 + 77 + 499 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1075746211 + ... + 1075746629.

It is an arithmetic number, because the mean of its divisors is an integer number (2856613760).

Almost surely, 2^450737749980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450737749980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822704762880).

450737749980 is an abundant number, since it is smaller than the sum of its proper divisors (1194671775780).

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

450737749980 is a wasteful number, since it uses less digits than its factorization.

450737749980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 450737749980 in words is "four hundred fifty billion, seven hundred thirty-seven million, seven hundred forty-nine thousand, nine hundred eighty".