457311348 has 144 divisors (see below), whose sum is σ = 1287861120. Its totient is φ = 135952128.

The previous prime is 457311341. The next prime is 457311409. The reversal of 457311348 is 843113754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457311341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2554723 + ... + 2554901.

It is an arithmetic number, because the mean of its divisors is an integer number (8943480).

Almost surely, 2^457311348 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 457311348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643930560).

457311348 is an abundant number, since it is smaller than the sum of its proper divisors (830549772).

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

457311348 is a wasteful number, since it uses less digits than its factorization.

457311348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 457311348 is about 21384.8392091220. The cubic root of 457311348 is about 770.4373452974.

The spelling of 457311348 in words is "four hundred fifty-seven million, three hundred eleven thousand, three hundred forty-eight".