457653888 has 160 divisors (see below), whose sum is σ = 1399953060. Its totient is φ = 148303872.

The previous prime is 457653883. The next prime is 457653913. The reversal of 457653888 is 888356754.

It can be written as a sum of positive squares in 2 ways, for example, as 432972864 + 24681024 = 20808^2 + 4968^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (457653881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383020 + ... + 384212.

Almost surely, 2^457653888 is an apocalyptic number.

457653888 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 457653888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699976530).

457653888 is an abundant number, since it is smaller than the sum of its proper divisors (942299172).

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

457653888 is a wasteful number, since it uses less digits than its factorization.

457653888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1235 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 457653888 is about 21392.8466548985. The cubic root of 457653888 is about 770.6296575633.

The spelling of 457653888 in words is "four hundred fifty-seven million, six hundred fifty-three thousand, eight hundred eighty-eight".