457102625 has 48 divisors (see below), whose sum is σ = 681874128. Its totient is φ = 304819200.

The previous prime is 457102601. The next prime is 457102631. The reversal of 457102625 is 526201754.

It can be written as a sum of positive squares in 8 ways, for example, as 15808576 + 441294049 = 3976^2 + 21007^2 .

It is not a de Polignac number, because 457102625 - 2¹² = 457098529 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457102591 and 457102600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225617 + ... + 227633.

It is an arithmetic number, because the mean of its divisors is an integer number (14205711).

Almost surely, 2^457102625 is an apocalyptic number.

It is an amenable number.

457102625 is a deficient number, since it is larger than the sum of its proper divisors (224771503).

457102625 is a wasteful number, since it uses less digits than its factorization.

457102625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 457102625 is about 21379.9584892020. The cubic root of 457102625 is about 770.3201148330.

The spelling of 457102625 in words is "four hundred fifty-seven million, one hundred two thousand, six hundred twenty-five".