1457728160 has 48 divisors (see below), whose sum is σ = 3935869056. Its totient is φ = 499792128.

The previous prime is 1457728147. The next prime is 1457728231. The reversal of 1457728160 is 618277541.

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, 649652 + ... + 651891.

It is an arithmetic number, because the mean of its divisors is an integer number (81997272).

Almost surely, 2^1457728160 is an apocalyptic number.

1457728160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457728160 is an abundant number, since it is smaller than the sum of its proper divisors (2478140896).

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

1457728160 is a wasteful number, since it uses less digits than its factorization.

1457728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301565 (or 1301557 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 1457728160 is about 38180.2063902227. The cubic root of 1457728160 is about 1133.8584679041.

The spelling of 1457728160 in words is "one billion, four hundred fifty-seven million, seven hundred twenty-eight thousand, one hundred sixty".