457410030336 has 216 divisors, whose sum is σ = 1526312686080. Its totient is φ = 129033934848.

The previous prime is 457410030317. The next prime is 457410030353. The reversal of 457410030336 is 633030014754.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 457410030336.

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 23 ways as a sum of consecutive naturals, for example, 1094611 + ... + 1453613.

Almost surely, 2^457410030336 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 457410030336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763156343040).

457410030336 is an abundant number, since it is smaller than the sum of its proper divisors (1068902655744).

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

457410030336 is a wasteful number, since it uses less digits than its factorization.

457410030336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359111 (or 359094 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 457410030336 in words is "four hundred fifty-seven billion, four hundred ten million, thirty thousand, three hundred thirty-six".