1457330625 has 45 divisors (see below), whose sum is σ = 2635627423. Its totient is φ = 775716000.

The previous prime is 1457330599. The next prime is 1457330629. The reversal of 1457330625 is 5260337541.

The square root of 1457330625 is 38175.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 649179441 + 808151184 = 25479^2 + 28428^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1457330625 - 2¹⁷ = 1457199553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1457330625.

It is not an unprimeable number, because it can be changed into a prime (1457330629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2862871 + ... + 2863379.

Almost surely, 2^1457330625 is an apocalyptic number.

1457330625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1457330625 is the 38175-th square number.

1457330625 is the 19088-th centered octagonal number.

It is an amenable number.

1457330625 is a deficient number, since it is larger than the sum of its proper divisors (1178296798).

1457330625 is an frugal number, since it uses more digits than its factorization.

1457330625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The cubic root of 1457330625 is about 1133.7553875496.

Multiplying 1457330625 by its sum of digits (36), we get a square (52463902500 = 229050²).

The spelling of 1457330625 in words is "one billion, four hundred fifty-seven million, three hundred thirty thousand, six hundred twenty-five".