451530414336 has 288 divisors, whose sum is σ = 1288887925248. Its totient is φ = 139835637760.

The previous prime is 451530414263. The next prime is 451530414337. The reversal of 451530414336 is 633414035154.

It is a junction number, because it is equal to n+sod(n) for n = 451530414294 and 451530414303.

It is not an unprimeable number, because it can be changed into a prime (451530414337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388245691 + ... + 388246853.

It is an arithmetic number, because the mean of its divisors is an integer number (4475305296).

Almost surely, 2^451530414336 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 451530414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644443962624).

451530414336 is an abundant number, since it is smaller than the sum of its proper divisors (837357510912).

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

451530414336 is a wasteful number, since it uses less digits than its factorization.

451530414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 451530414336 in words is "four hundred fifty-one billion, five hundred thirty million, four hundred fourteen thousand, three hundred thirty-six".