408398400 has 252 divisors, whose sum is σ = 1474012800. Its totient is φ = 107228160.

The previous prime is 408398383. The next prime is 408398401. The reversal of 408398400 is 4893804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (408398401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1137421 + ... + 1137779.

Almost surely, 2^408398400 is an apocalyptic number.

408398400 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 408398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737006400).

408398400 is an abundant number, since it is smaller than the sum of its proper divisors (1065614400).

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

408398400 is a wasteful number, since it uses less digits than its factorization.

408398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 408398400 is about 20208.8693399705. The cubic root of 408398400 is about 741.9272868253.

The spelling of 408398400 in words is "four hundred eight million, three hundred ninety-eight thousand, four hundred".