450475499124720 has 400 divisors, whose sum is σ = 1598044111488000. Its totient is φ = 117557130290688.

The previous prime is 450475499124719. The next prime is 450475499124751. The reversal of 450475499124720 is 27421994574054.

It is a happy number.

450475499124720 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 7 + 549 + 9 + 12 + 4 + 72 + 0 = 666.

It is a super-2 number, since 2×450475499124720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2740653259 + ... + 2740817621.

It is an arithmetic number, because the mean of its divisors is an integer number (3995110278720).

Almost surely, 2^{450475499124720} is an apocalyptic number.

450475499124720 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 450475499124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799022055744000).

450475499124720 is an abundant number, since it is smaller than the sum of its proper divisors (1147568612363280).

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

450475499124720 is a wasteful number, since it uses less digits than its factorization.

450475499124720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173434 (or 173419 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 450475499124720 in words is "four hundred fifty trillion, four hundred seventy-five billion, four hundred ninety-nine million, one hundred twenty-four thousand, seven hundred twenty".