1457728672 has 48 divisors (see below), whose sum is σ = 2901989160. Its totient is φ = 720764928.

The previous prime is 1457728669. The next prime is 1457728687. The reversal of 1457728672 is 2768277541.

It can be written as a sum of positive squares in 4 ways, for example, as 1221921936 + 235806736 = 34956^2 + 15356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290604 + ... + 1291732.

Almost surely, 2^1457728672 is an apocalyptic number.

It is an amenable number.

1457728672 is a deficient number, since it is larger than the sum of its proper divisors (1444260488).

1457728672 is a wasteful number, since it uses less digits than its factorization.

1457728672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 49.

The square root of 1457728672 is about 38180.2130952670. The cubic root of 1457728672 is about 1133.8586006530.

The spelling of 1457728672 in words is "one billion, four hundred fifty-seven million, seven hundred twenty-eight thousand, six hundred seventy-two".