457749792 has 216 divisors, whose sum is σ = 1419674256. Its totient is φ = 145006848.

The previous prime is 457749737. The next prime is 457749793. The reversal of 457749792 is 297947754.

It is a tau number, because it is divible by the number of its divisors (216).

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 (457749793) 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, 10645323 + ... + 10645365.

It is an arithmetic number, because the mean of its divisors is an integer number (6572566).

Almost surely, 2^457749792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457749792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709837128).

457749792 is an abundant number, since it is smaller than the sum of its proper divisors (961924464).

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

457749792 is an equidigital number, since it uses as much as digits as its factorization.

457749792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 85 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 457749792 is about 21395.0880344064. The cubic root of 457749792 is about 770.6834837601.

The spelling of 457749792 in words is "four hundred fifty-seven million, seven hundred forty-nine thousand, seven hundred ninety-two".