457481088 has 128 divisors (see below), whose sum is σ = 1421472000. Its totient is φ = 144446976.

The previous prime is 457481081. The next prime is 457481137. The reversal of 457481088 is 880184754.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457481081) 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, 62181 + ... + 69147.

It is an arithmetic number, because the mean of its divisors is an integer number (11105250).

Almost surely, 2^457481088 is an apocalyptic number.

457481088 is a gapful number since it is divisible by the number (48) 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 457481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710736000).

457481088 is an abundant number, since it is smaller than the sum of its proper divisors (963990912).

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

457481088 is a wasteful number, since it uses less digits than its factorization.

457481088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 457481088 is about 21388.8075403936. The cubic root of 457481088 is about 770.5326544408.

The spelling of 457481088 in words is "four hundred fifty-seven million, four hundred eighty-one thousand, eighty-eight".