457427880 has 192 divisors, whose sum is σ = 1829842560. Its totient is φ = 96505344.

The previous prime is 457427879. The next prime is 457427897. The reversal of 457427880 is 88724754.

457427880 is a `hidden beast` number, since 4 + 574 + 2 + 78 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25779 + ... + 39741.

It is an arithmetic number, because the mean of its divisors is an integer number (9530430).

Almost surely, 2^457427880 is an apocalyptic number.

457427880 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 457427880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914921280).

457427880 is an abundant number, since it is smaller than the sum of its proper divisors (1372414680).

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

457427880 is a wasteful number, since it uses less digits than its factorization.

457427880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14000 (or 13993 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 457427880 is about 21387.5636761180. The cubic root of 457427880 is about 770.5027806442.

The spelling of 457427880 in words is "four hundred fifty-seven million, four hundred twenty-seven thousand, eight hundred eighty".