457261420 has 72 divisors (see below), whose sum is σ = 1206307872. Its totient is φ = 142517760.

The previous prime is 457261403. The next prime is 457261421. The reversal of 457261420 is 24162754.

It is not an unprimeable number, because it can be changed into a prime (457261421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3444 + ... + 30436.

It is an arithmetic number, because the mean of its divisors is an integer number (16754276).

Almost surely, 2^457261420 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 457261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603153936).

457261420 is an abundant number, since it is smaller than the sum of its proper divisors (749046452).

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

457261420 is a wasteful number, since it uses less digits than its factorization.

457261420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27031 (or 27018 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 457261420 is about 21383.6718081811. The cubic root of 457261420 is about 770.4093061975.

The spelling of 457261420 in words is "four hundred fifty-seven million, two hundred sixty-one thousand, four hundred twenty".