408416797400 has 192 divisors, whose sum is σ = 999193190400. Its totient is φ = 155046528000.

The previous prime is 408416797391. The next prime is 408416797421. The reversal of 408416797400 is 4797614804.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190580729 + ... + 190582871.

It is an arithmetic number, because the mean of its divisors is an integer number (5204131200).

Almost surely, 2^408416797400 is an apocalyptic number.

408416797400 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 408416797400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499596595200).

408416797400 is an abundant number, since it is smaller than the sum of its proper divisors (590776393000).

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

408416797400 is a wasteful number, since it uses less digits than its factorization.

408416797400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 408416797400 in words is "four hundred eight billion, four hundred sixteen million, seven hundred ninety-seven thousand, four hundred".