450525825024 has 192 divisors, whose sum is σ = 1340781361920. Its totient is φ = 133347164160.

The previous prime is 450525825011. The next prime is 450525825053. The reversal of 450525825024 is 420528525054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2828599 + ... + 2983625.

It is an arithmetic number, because the mean of its divisors is an integer number (6983236260).

Almost surely, 2^450525825024 is an apocalyptic number.

450525825024 is a gapful number since it is divisible by the number (44) 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 450525825024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670390680960).

450525825024 is an abundant number, since it is smaller than the sum of its proper divisors (890255536896).

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

450525825024 is a wasteful number, since it uses less digits than its factorization.

450525825024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155106 (or 155086 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

The spelling of 450525825024 in words is "four hundred fifty billion, five hundred twenty-five million, eight hundred twenty-five thousand, twenty-four".