405554400 has 432 divisors, whose sum is σ = 1559900160. Its totient is φ = 98841600.

The previous prime is 405554339. The next prime is 405554407. The reversal of 405554400 is 4455504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405554407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5133561 + ... + 5133639.

It is an arithmetic number, because the mean of its divisors is an integer number (3610880).

Almost surely, 2^405554400 is an apocalyptic number.

405554400 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 405554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

405554400 is an abundant number, since it is smaller than the sum of its proper divisors (1154345760).

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

405554400 is a wasteful number, since it uses less digits than its factorization.

405554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 405554400 is about 20138.3812656330. The cubic root of 405554400 is about 740.2010654025.

The spelling of 405554400 in words is "four hundred five million, five hundred fifty-four thousand, four hundred".