450904925837952 has 384 divisors, whose sum is σ = 1321186713350400. Its totient is φ = 147583864995840.

The previous prime is 450904925837939. The next prime is 450904925837999. The reversal of 450904925837952 is 259738529409054.

450904925837952 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 0 + 492 + 5 + 83 + 7 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 13374791848 + ... + 13374825560.

It is an arithmetic number, because the mean of its divisors is an integer number (3440590399350).

Almost surely, 2^{450904925837952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450904925837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660593356675200).

450904925837952 is an abundant number, since it is smaller than the sum of its proper divisors (870281787512448).

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

450904925837952 is a wasteful number, since it uses less digits than its factorization.

450904925837952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34616 (or 34601 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 450904925837952 in words is "four hundred fifty trillion, nine hundred four billion, nine hundred twenty-five million, eight hundred thirty-seven thousand, nine hundred fifty-two".