405662364 has 144 divisors (see below), whose sum is σ = 1148081760. Its totient is φ = 123770880.

The previous prime is 405662363. The next prime is 405662401. The reversal of 405662364 is 463266504.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405662363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279534 + ... + 1279850.

It is an arithmetic number, because the mean of its divisors is an integer number (7972790).

Almost surely, 2^405662364 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 405662364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574040880).

405662364 is an abundant number, since it is smaller than the sum of its proper divisors (742419396).

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

405662364 is a wasteful number, since it uses less digits than its factorization.

405662364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 405662364 is about 20141.0616403406. The cubic root of 405662364 is about 740.2667433793.

The spelling of 405662364 in words is "four hundred five million, six hundred sixty-two thousand, three hundred sixty-four".