396414252 has 144 divisors (see below), whose sum is σ = 1149148000. Its totient is φ = 114213888.

The previous prime is 396414247. The next prime is 396414301. The reversal of 396414252 is 252414693.

It is a happy number.

396414252 is a `hidden beast` number, since 3 + 9 + 641 + 4 + 2 + 5 + 2 = 666.

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

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, 969024 + ... + 969432.

Almost surely, 2^396414252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396414252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574574000).

396414252 is an abundant number, since it is smaller than the sum of its proper divisors (752733748).

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

396414252 is a wasteful number, since it uses less digits than its factorization.

396414252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 555 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 396414252 is about 19910.1544946291. The cubic root of 396414252 is about 734.5980198147.

The spelling of 396414252 in words is "three hundred ninety-six million, four hundred fourteen thousand, two hundred fifty-two".