405412920 has 288 divisors, whose sum is σ = 1490121360. Its totient is φ = 95462400.

The previous prime is 405412897. The next prime is 405412921. The reversal of 405412920 is 29214504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405412921) 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 71 ways as a sum of consecutive naturals, for example, 1785847 + ... + 1786073.

Almost surely, 2^405412920 is an apocalyptic number.

405412920 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 405412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745060680).

405412920 is an abundant number, since it is smaller than the sum of its proper divisors (1084708440).

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

405412920 is a wasteful number, since it uses less digits than its factorization.

405412920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 405412920 is about 20134.8682637856. The cubic root of 405412920 is about 740.1149809160.

The spelling of 405412920 in words is "four hundred five million, four hundred twelve thousand, nine hundred twenty".