408863052 has 216 divisors, whose sum is σ = 1230989760. Its totient is φ = 118272960.

The previous prime is 408863017. The next prime is 408863069. The reversal of 408863052 is 250368804.

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

It is a junction number, because it is equal to n+sod(n) for n = 408862998 and 408863016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3121027 + ... + 3121157.

Almost surely, 2^408863052 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 408863052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615494880).

408863052 is an abundant number, since it is smaller than the sum of its proper divisors (822126708).

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

408863052 is a wasteful number, since it uses less digits than its factorization.

408863052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 408863052 is about 20220.3623112940. The cubic root of 408863052 is about 742.2085541199.

The spelling of 408863052 in words is "four hundred eight million, eight hundred sixty-three thousand, fifty-two".