410625 has 30 divisors (see below), whose sum is σ = 751322. Its totient is φ = 216000.

The previous prime is 410623. The next prime is 410629. The reversal of 410625 is 526014.

It is a happy number.

410625 is a `hidden beast` number, since 41 + 0 + 625 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 147456 + 263169 = 384^2 + 513^2 .

It is not a de Polignac number, because 410625 - 2¹ = 410623 is a prime.

It is a super-2 number, since 2×410625² = 337225781250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) 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 = 410598 and 410607.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 410625.

It is not an unprimeable number, because it can be changed into a prime (410621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5589 + ... + 5661.

It is a Proth number, since it is equal to 401 ⋅ 2¹⁰ + 1 and 401 < 2¹⁰.

2⁴¹⁰⁶²⁵ is an apocalyptic number.

410625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

410625 is a deficient number, since it is larger than the sum of its proper divisors (340697).

410625 is an equidigital number, since it uses as much as digits as its factorization.

410625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 410625 is about 640.8002808988. The cubic root of 410625 is about 74.3273180240.

Adding to 410625 its reverse (526014), we get a palindrome (936639).

It can be divided in two parts, 410 and 625, that added together give a triangular number (1035 = T₄₅).

The spelling of 410625 in words is "four hundred ten thousand, six hundred twenty-five".