405794400 has 288 divisors, whose sum is σ = 1518652800. Its totient is φ = 93081600.

The previous prime is 405794357. The next prime is 405794401. The reversal of 405794400 is 4497504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405794401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501196 + ... + 502004.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^405794400 is an apocalyptic number.

405794400 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 405794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

405794400 is an abundant number, since it is smaller than the sum of its proper divisors (1112858400).

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

405794400 is a wasteful number, since it uses less digits than its factorization.

405794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 405794400 is about 20144.3391552069. The cubic root of 405794400 is about 740.3470492904.

The spelling of 405794400 in words is "four hundred five million, seven hundred ninety-four thousand, four hundred".