408797400 has 192 divisors, whose sum is σ = 1443121920. Its totient is φ = 94758400.

The previous prime is 408797387. The next prime is 408797413. The reversal of 408797400 is 4797804.

It is an interprime number because it is at equal distance from previous prime (408797387) and next prime (408797413).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 150454 + ... + 153146.

It is an arithmetic number, because the mean of its divisors is an integer number (7516260).

Almost surely, 2^408797400 is an apocalyptic number.

408797400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408797400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721560960).

408797400 is an abundant number, since it is smaller than the sum of its proper divisors (1034324520).

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

408797400 is a wasteful number, since it uses less digits than its factorization.

408797400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 408797400 is about 20218.7388330727. The cubic root of 408797400 is about 742.1688259974.

The spelling of 408797400 in words is "four hundred eight million, seven hundred ninety-seven thousand, four hundred".