405347328 has 176 divisors, whose sum is σ = 1221977120. Its totient is φ = 134369280.

The previous prime is 405347309. The next prime is 405347357. The reversal of 405347328 is 823743504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 405347292 and 405347301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239398 + ... + 2239578.

Almost surely, 2^405347328 is an apocalyptic number.

405347328 is a gapful number since it is divisible by the number (48) 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 405347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610988560).

405347328 is an abundant number, since it is smaller than the sum of its proper divisors (816629792).

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

405347328 is an frugal number, since it uses more digits than its factorization.

405347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 405347328 is about 20133.2393816792. The cubic root of 405347328 is about 740.0750642140.

The spelling of 405347328 in words is "four hundred five million, three hundred forty-seven thousand, three hundred twenty-eight".