450299685225600 has 1728 divisors, whose sum is σ = 1944612393984000. Its totient is φ = 98819946086400.

The previous prime is 450299685225581. The next prime is 450299685225617. The reversal of 450299685225600 is 6522586992054.

450299685225600 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 9 + 9 + 68 + 5 + 2 + 2 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5555853876 + ... + 5555934924.

Almost surely, 2^{450299685225600} is an apocalyptic number.

450299685225600 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 450299685225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972306196992000).

450299685225600 is an abundant number, since it is smaller than the sum of its proper divisors (1494312708758400).

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

450299685225600 is a wasteful number, since it uses less digits than its factorization.

450299685225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81251 (or 81224 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 450299685225600 in words is "four hundred fifty trillion, two hundred ninety-nine billion, six hundred eighty-five million, two hundred twenty-five thousand, six hundred".