450770664120 has 512 divisors, whose sum is σ = 1595257804800. Its totient is φ = 99785613312.

The previous prime is 450770664107. The next prime is 450770664137. The reversal of 450770664120 is 21466077054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1208500254 + ... + 1208500626.

It is an arithmetic number, because the mean of its divisors is an integer number (3115737900).

Almost surely, 2^450770664120 is an apocalyptic number.

450770664120 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 450770664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797628902400).

450770664120 is an abundant number, since it is smaller than the sum of its proper divisors (1144487140680).

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

450770664120 is a wasteful number, since it uses less digits than its factorization.

450770664120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 450770664120 in words is "four hundred fifty billion, seven hundred seventy million, six hundred sixty-four thousand, one hundred twenty".