450265651880200 has 192 divisors, whose sum is σ = 1128687476253120. Its totient is φ = 166061529216000.

The previous prime is 450265651880137. The next prime is 450265651880221. The reversal of 450265651880200 is 2088156562054.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23177302887 + ... + 23177322313.

It is an arithmetic number, because the mean of its divisors is an integer number (5878580605485).

Almost surely, 2^{450265651880200} is an apocalyptic number.

450265651880200 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 450265651880200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564343738126560).

450265651880200 is an abundant number, since it is smaller than the sum of its proper divisors (678421824372920).

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

450265651880200 is a wasteful number, since it uses less digits than its factorization.

450265651880200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29208 (or 29199 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 450265651880200 in words is "four hundred fifty trillion, two hundred sixty-five billion, six hundred fifty-one million, eight hundred eighty thousand, two hundred".