408741924 has 48 divisors (see below), whose sum is σ = 997742592. Its totient is φ = 129990432.

The previous prime is 408741919. The next prime is 408741929. The reversal of 408741924 is 429147804.

It is an interprime number because it is at equal distance from previous prime (408741919) and next prime (408741929).

It is not an unprimeable number, because it can be changed into a prime (408741929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120597 + ... + 123939.

It is an arithmetic number, because the mean of its divisors is an integer number (20786304).

Almost surely, 2^408741924 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 408741924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498871296).

408741924 is an abundant number, since it is smaller than the sum of its proper divisors (589000668).

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

408741924 is a wasteful number, since it uses less digits than its factorization.

408741924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 408741924 is about 20217.3668908689. The cubic root of 408741924 is about 742.1352523817.

The spelling of 408741924 in words is "four hundred eight million, seven hundred forty-one thousand, nine hundred twenty-four".