457748928 has 448 divisors, whose sum is σ = 1720535040. Its totient is φ = 116121600.

The previous prime is 457748927. The next prime is 457748939. The reversal of 457748928 is 829847754.

It is a happy number.

457748928 is a `hidden beast` number, since 4 + 577 + 48 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457748923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6447133 + ... + 6447203.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^457748928 is an apocalyptic number.

457748928 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 457748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860267520).

457748928 is an abundant number, since it is smaller than the sum of its proper divisors (1262786112).

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

457748928 is a wasteful number, since it uses less digits than its factorization.

457748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

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

The square root of 457748928 is about 21395.0678428464. The cubic root of 457748928 is about 770.6829988730.

The spelling of 457748928 in words is "four hundred fifty-seven million, seven hundred forty-eight thousand, nine hundred twenty-eight".