457778034896 has 320 divisors, whose sum is σ = 1178024601600. Its totient is φ = 167293900800.

The previous prime is 457778034893. The next prime is 457778034937. The reversal of 457778034896 is 698430877754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457778034893) by changing a digit.

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, 213813986 + ... + 213816126.

It is an arithmetic number, because the mean of its divisors is an integer number (3681326880).

Almost surely, 2^457778034896 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 457778034896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589012300800).

457778034896 is an abundant number, since it is smaller than the sum of its proper divisors (720246566704).

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

457778034896 is a wasteful number, since it uses less digits than its factorization.

457778034896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 68.

The spelling of 457778034896 in words is "four hundred fifty-seven billion, seven hundred seventy-eight million, thirty-four thousand, eight hundred ninety-six".