457782048 has 144 divisors (see below), whose sum is σ = 1379851200. Its totient is φ = 143562240.

The previous prime is 457782043. The next prime is 457782071. The reversal of 457782048 is 840287754.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 457781994 and 457782012.

It is not an unprimeable number, because it can be changed into a prime (457782043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1471813 + ... + 1472123.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2^457782048 is an apocalyptic number.

457782048 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 457782048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689925600).

457782048 is an abundant number, since it is smaller than the sum of its proper divisors (922069152).

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

457782048 is a wasteful number, since it uses less digits than its factorization.

457782048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

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

The square root of 457782048 is about 21395.8418390116. The cubic root of 457782048 is about 770.7015857764.

The spelling of 457782048 in words is "four hundred fifty-seven million, seven hundred eighty-two thousand, forty-eight".