408213248 has 72 divisors (see below), whose sum is σ = 872559072. Its totient is φ = 189923328.

The previous prime is 408213241. The next prime is 408213287. The reversal of 408213248 is 842312804.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408213241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421661 + ... + 422627.

It is an arithmetic number, because the mean of its divisors is an integer number (12118876).

Almost surely, 2^408213248 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 408213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436279536).

408213248 is an abundant number, since it is smaller than the sum of its proper divisors (464345824).

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

408213248 is an equidigital number, since it uses as much as digits as its factorization.

408213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 408213248 is about 20204.2878617387. The cubic root of 408213248 is about 741.8151495222.

The spelling of 408213248 in words is "four hundred eight million, two hundred thirteen thousand, two hundred forty-eight".