457242696960 has 576 divisors, whose sum is σ = 1701717319680. Its totient is φ = 102478970880.

The previous prime is 457242696959. The next prime is 457242697001. The reversal of 457242696960 is 69696242754.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 457242696894 and 457242696903.

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 63 ways as a sum of consecutive naturals, for example, 346133100 + ... + 346134420.

Almost surely, 2^457242696960 is an apocalyptic number.

457242696960 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 457242696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850858659840).

457242696960 is an abundant number, since it is smaller than the sum of its proper divisors (1244474622720).

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

457242696960 is a wasteful number, since it uses less digits than its factorization.

457242696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 457242696960 in words is "four hundred fifty-seven billion, two hundred forty-two million, six hundred ninety-six thousand, nine hundred sixty".