450529360025472 has 2560 divisors, whose sum is σ = 1797198675148800. Its totient is φ = 108684860866560.

The previous prime is 450529360025461. The next prime is 450529360025557. The reversal of 450529360025472 is 274520063925054.

450529360025472 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 2 + 9 + 3 + 600 + 25 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×450529360025472² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 379552956463 + ... + 379552957649.

It is an arithmetic number, because the mean of its divisors is an integer number (702030732480).

Almost surely, 2^{450529360025472} is an apocalyptic number.

450529360025472 is a gapful number since it is divisible by the number (42) 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 450529360025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898599337574400).

450529360025472 is an abundant number, since it is smaller than the sum of its proper divisors (1346669315123328).

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

450529360025472 is a wasteful number, since it uses less digits than its factorization.

450529360025472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 450529360025472 in words is "four hundred fifty trillion, five hundred twenty-nine billion, three hundred sixty million, twenty-five thousand, four hundred seventy-two".