1457431248 has 320 divisors, whose sum is σ = 4919685120. Its totient is φ = 361304064.

The previous prime is 1457431237. The next prime is 1457431273. The reversal of 1457431248 is 8421347541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8941215 + ... + 8941377.

It is an arithmetic number, because the mean of its divisors is an integer number (15374016).

Almost surely, 2^1457431248 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 1457431248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459842560).

1457431248 is an abundant number, since it is smaller than the sum of its proper divisors (3462253872).

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

1457431248 is a wasteful number, since it uses less digits than its factorization.

1457431248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 1457431248 is about 38176.3178947368. The cubic root of 1457431248 is about 1133.7814807460.

Adding to 1457431248 its reverse (8421347541), we get a palindrome (9878778789).

The spelling of 1457431248 in words is "one billion, four hundred fifty-seven million, four hundred thirty-one thousand, two hundred forty-eight".