1457240352 has 96 divisors (see below), whose sum is σ = 3938264064. Its totient is φ = 471609600.

The previous prime is 1457240341. The next prime is 1457240363. The reversal of 1457240352 is 2530427541.

It is an interprime number because it is at equal distance from previous prime (1457240341) and next prime (1457240363).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455077 + ... + 458267.

It is an arithmetic number, because the mean of its divisors is an integer number (41023584).

Almost surely, 2^1457240352 is an apocalyptic number.

1457240352 is a gapful number since it is divisible by the number (12) 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 1457240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969132032).

1457240352 is an abundant number, since it is smaller than the sum of its proper divisors (2481023712).

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

1457240352 is a wasteful number, since it uses less digits than its factorization.

1457240352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 1457240352 is about 38173.8176241256. The cubic root of 1457240352 is about 1133.7319772560.

Adding to 1457240352 its reverse (2530427541), we get a palindrome (3987667893).

The spelling of 1457240352 in words is "one billion, four hundred fifty-seven million, two hundred forty thousand, three hundred fifty-two".