405896400 has 720 divisors, whose sum is σ = 1840507200. Its totient is φ = 84188160.

The previous prime is 405896377. The next prime is 405896453. The reversal of 405896400 is 4698504.

405896400 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 6879571 + ... + 6879629.

It is an arithmetic number, because the mean of its divisors is an integer number (2556260).

Almost surely, 2^405896400 is an apocalyptic number.

405896400 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 405896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920253600).

405896400 is an abundant number, since it is smaller than the sum of its proper divisors (1434610800).

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

405896400 is a wasteful number, since it uses less digits than its factorization.

405896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 405896400 is about 20146.8707247552. The cubic root of 405896400 is about 740.4090750131.

The spelling of 405896400 in words is "four hundred five million, eight hundred ninety-six thousand, four hundred".