457961740 has 48 divisors (see below), whose sum is σ = 1007536320. Its totient is φ = 174521600.

The previous prime is 457961723. The next prime is 457961743. The reversal of 457961740 is 47169754.

It is not an unprimeable number, because it can be changed into a prime (457961743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121890 + ... + 125590.

It is an arithmetic number, because the mean of its divisors is an integer number (20990340).

Almost surely, 2^457961740 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 457961740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503768160).

457961740 is an abundant number, since it is smaller than the sum of its proper divisors (549574580).

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

457961740 is a wasteful number, since it uses less digits than its factorization.

457961740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 457961740 is about 21400.0406541670. The cubic root of 457961740 is about 770.8024130832.

The spelling of 457961740 in words is "four hundred fifty-seven million, nine hundred sixty-one thousand, seven hundred forty".