1457279696 has 40 divisors (see below), whose sum is σ = 2936155080. Its totient is φ = 699826176.

The previous prime is 1457279683. The next prime is 1457279699. The reversal of 1457279696 is 6969727541.

It can be written as a sum of positive squares in 4 ways, for example, as 421727296 + 1035552400 = 20536^2 + 32180^2 .

It is a super-2 number, since 2×1457279696² = 4247328224747704832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457279699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81416 + ... + 97688.

It is an arithmetic number, because the mean of its divisors is an integer number (73403877).

Almost surely, 2^1457279696 is an apocalyptic number.

1457279696 is a gapful number since it is divisible by the number (16) 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 1457279696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468077540).

1457279696 is an abundant number, since it is smaller than the sum of its proper divisors (1478875384).

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

1457279696 is a wasteful number, since it uses less digits than its factorization.

1457279696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16503 (or 16497 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 56.

The square root of 1457279696 is about 38174.3329476757. The cubic root of 1457279696 is about 1133.7421803657.

The spelling of 1457279696 in words is "one billion, four hundred fifty-seven million, two hundred seventy-nine thousand, six hundred ninety-six".