408248424 has 80 divisors (see below), whose sum is σ = 1180417920. Its totient is φ = 131686560.

The previous prime is 408248389. The next prime is 408248443. The reversal of 408248424 is 424842804.

408248424 is a `hidden beast` number, since 408 + 248 + 4 + 2 + 4 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9927 + ... + 30249.

It is an arithmetic number, because the mean of its divisors is an integer number (14755224).

Almost surely, 2^408248424 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 408248424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590208960).

408248424 is an abundant number, since it is smaller than the sum of its proper divisors (772169496).

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

408248424 is a wasteful number, since it uses less digits than its factorization.

408248424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20372 (or 20359 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 408248424 is about 20205.1583512726. The cubic root of 408248424 is about 741.8364564741.

It can be divided in two parts, 408 and 248424, that added together give a 5-th power (248832 = 12⁵).

The spelling of 408248424 in words is "four hundred eight million, two hundred forty-eight thousand, four hundred twenty-four".