457045686720 has 336 divisors, whose sum is σ = 1798585663680. Its totient is φ = 104353579008.

The previous prime is 457045686683. The next prime is 457045686739. The reversal of 457045686720 is 27686540754.

It is a happy number.

457045686720 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 4 + 568 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 19200586 + ... + 19224374.

Almost surely, 2^457045686720 is an apocalyptic number.

457045686720 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 457045686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899292831840).

457045686720 is an abundant number, since it is smaller than the sum of its proper divisors (1341539976960).

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

457045686720 is a wasteful number, since it uses less digits than its factorization.

457045686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24772 (or 24759 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 457045686720 in words is "four hundred fifty-seven billion, forty-five million, six hundred eighty-six thousand, seven hundred twenty".