457831640 has 64 divisors (see below), whose sum is σ = 1180258560. Its totient is φ = 156574080.

The previous prime is 457831639. The next prime is 457831679. The reversal of 457831640 is 46138754.

It is a junction number, because it is equal to n+sod(n) for n = 457831594 and 457831603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122195 + ... + 125885.

It is an arithmetic number, because the mean of its divisors is an integer number (18441540).

Almost surely, 2^457831640 is an apocalyptic number.

457831640 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 457831640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590129280).

457831640 is an abundant number, since it is smaller than the sum of its proper divisors (722426920).

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

457831640 is a wasteful number, since it uses less digits than its factorization.

457831640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 457831640 is about 21397.0007244006. Note that the first 3 decimals coincide. The cubic root of 457831640 is about 770.7294150699.

The spelling of 457831640 in words is "four hundred fifty-seven million, eight hundred thirty-one thousand, six hundred forty".