408411420 has 96 divisors (see below), whose sum is σ = 1176215040. Its totient is φ = 105826560.

The previous prime is 408411407. The next prime is 408411433. The reversal of 408411420 is 24114804.

It is an interprime number because it is at equal distance from previous prime (408411407) and next prime (408411433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802126 + ... + 802634.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240).

Almost surely, 2^408411420 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 408411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588107520).

408411420 is an abundant number, since it is smaller than the sum of its proper divisors (767803620).

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

408411420 is a wasteful number, since it uses less digits than its factorization.

408411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 408411420 is about 20209.1914731886. The cubic root of 408411420 is about 741.9351711123.

The spelling of 408411420 in words is "four hundred eight million, four hundred eleven thousand, four hundred twenty".