1457650240 has 56 divisors (see below), whose sum is σ = 3474290232. Its totient is φ = 582512640.

The previous prime is 1457650223. The next prime is 1457650253. The reversal of 1457650240 is 420567541.

It can be written as a sum of positive squares in 4 ways, for example, as 5125696 + 1452524544 = 2264^2 + 38112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1457650196 and 1457650205.

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, 637900 + ... + 640180.

It is an arithmetic number, because the mean of its divisors is an integer number (62040897).

Almost surely, 2^1457650240 is an apocalyptic number.

1457650240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457650240 is an abundant number, since it is smaller than the sum of its proper divisors (2016639992).

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

1457650240 is a wasteful number, since it uses less digits than its factorization.

1457650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 1457650240 is about 38179.1859525580. The cubic root of 1457650240 is about 1133.8382648172.

The spelling of 1457650240 in words is "one billion, four hundred fifty-seven million, six hundred fifty thousand, two hundred forty".