409487625 has 24 divisors (see below), whose sum is σ = 738171720. Its totient is φ = 218392800.

The previous prime is 409487599. The next prime is 409487651. The reversal of 409487625 is 526784904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409487599) and next prime (409487651).

It can be written as a sum of positive squares in 4 ways, for example, as 30173049 + 379314576 = 5493^2 + 19476^2 .

It is not a de Polignac number, because 409487625 - 2⁸ = 409487369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180870 + ... + 183119.

It is an arithmetic number, because the mean of its divisors is an integer number (30757155).

Almost surely, 2^409487625 is an apocalyptic number.

409487625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409487625 is a deficient number, since it is larger than the sum of its proper divisors (328684095).

409487625 is a wasteful number, since it uses less digits than its factorization.

409487625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364010 (or 363997 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 409487625 is about 20235.8005771949. The cubic root of 409487625 is about 742.5862906888.

It can be divided in two parts, 4094 and 87625, that added together give a palindrome (91719).

The spelling of 409487625 in words is "four hundred nine million, four hundred eighty-seven thousand, six hundred twenty-five".