405430400 has 192 divisors, whose sum is σ = 1066479360. Its totient is φ = 152064000.

The previous prime is 405430397. The next prime is 405430429. The reversal of 405430400 is 4034504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6051167 + ... + 6051233.

It is an arithmetic number, because the mean of its divisors is an integer number (5554580).

Almost surely, 2^405430400 is an apocalyptic number.

405430400 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 405430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533239680).

405430400 is an abundant number, since it is smaller than the sum of its proper divisors (661048960).

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

405430400 is a wasteful number, since it uses less digits than its factorization.

405430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 405430400 is about 20135.3023319741. The cubic root of 405430400 is about 740.1256178274.

Adding to 405430400 its reverse (4034504), we get a palindrome (409464904).

The spelling of 405430400 in words is "four hundred five million, four hundred thirty thousand, four hundred".