457489872 has 180 divisors, whose sum is σ = 1554677280. Its totient is φ = 124983936.

The previous prime is 457489871. The next prime is 457489883. The reversal of 457489872 is 278984754.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457489871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160879 + ... + 163697.

It is an arithmetic number, because the mean of its divisors is an integer number (8637096).

Almost surely, 2^457489872 is an apocalyptic number.

457489872 is a gapful number since it is divisible by the number (42) 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 457489872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777338640).

457489872 is an abundant number, since it is smaller than the sum of its proper divisors (1097187408).

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

457489872 is a wasteful number, since it uses less digits than its factorization.

457489872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2854 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 457489872 is about 21389.0128804487. The cubic root of 457489872 is about 770.5375860221.

The spelling of 457489872 in words is "four hundred fifty-seven million, four hundred eighty-nine thousand, eight hundred seventy-two".