405230400 has 252 divisors, whose sum is σ = 1459272672. Its totient is φ = 106644480.

The previous prime is 405230389. The next prime is 405230407. The reversal of 405230400 is 4032504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405230407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1540669 + ... + 1540931.

Almost surely, 2^405230400 is an apocalyptic number.

405230400 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 405230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729636336).

405230400 is an abundant number, since it is smaller than the sum of its proper divisors (1054042272).

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

405230400 is a wasteful number, since it uses less digits than its factorization.

405230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 405230400 is about 20130.3353176245. The cubic root of 405230400 is about 740.0038957672.

Adding to 405230400 its reverse (4032504), we get a palindrome (409262904).

The spelling of 405230400 in words is "four hundred five million, two hundred thirty thousand, four hundred".