457681140 has 288 divisors, whose sum is σ = 1754887680. Its totient is φ = 94076928.

The previous prime is 457681097. The next prime is 457681153. The reversal of 457681140 is 41186754.

It is a happy number.

457681140 is a `hidden beast` number, since 4 + 576 + 81 + 1 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 457681095 and 457681104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492196 + ... + 493124.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^457681140 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 457681140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

457681140 is an abundant number, since it is smaller than the sum of its proper divisors (1297206540).

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

457681140 is a wasteful number, since it uses less digits than its factorization.

457681140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 457681140 is about 21393.4835872983. The cubic root of 457681140 is about 770.6449535348.

The spelling of 457681140 in words is "four hundred fifty-seven million, six hundred eighty-one thousand, one hundred forty".