412587252 has 162 divisors, whose sum is σ = 1334210514. Its totient is φ = 107110080.

The previous prime is 412587233. The next prime is 412587257. The reversal of 412587252 is 252785214.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 376515216 + 36072036 = 19404^2 + 6006^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412587257) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 212478 + ... + 214410.

Almost surely, 2^412587252 is an apocalyptic number.

412587252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412587252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667105257).

412587252 is an abundant number, since it is smaller than the sum of its proper divisors (921623262).

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

412587252 is a wasteful number, since it uses less digits than its factorization.

412587252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1956 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 412587252 is about 20312.2438937701. The cubic root of 412587252 is about 744.4552581352.

The spelling of 412587252 in words is "four hundred twelve million, five hundred eighty-seven thousand, two hundred fifty-two".