405944352 has 192 divisors, whose sum is σ = 1306005120. Its totient is φ = 122664960.

The previous prime is 405944347. The next prime is 405944359. The reversal of 405944352 is 253449504.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (405944359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149808 + ... + 1150160.

It is an arithmetic number, because the mean of its divisors is an integer number (6802110).

Almost surely, 2^405944352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405944352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653002560).

405944352 is an abundant number, since it is smaller than the sum of its proper divisors (900060768).

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

405944352 is a wasteful number, since it uses less digits than its factorization.

405944352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 405944352 is about 20148.0607503551. The cubic root of 405944352 is about 740.4382308091.

The spelling of 405944352 in words is "four hundred five million, nine hundred forty-four thousand, three hundred fifty-two".