405743072 has 24 divisors (see below), whose sum is σ = 912922416. Its totient is φ = 173889792.

The previous prime is 405743047. The next prime is 405743077. The reversal of 405743072 is 270347504.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405743077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 905453 + ... + 905900.

It is an arithmetic number, because the mean of its divisors is an integer number (38038434).

Almost surely, 2^405743072 is an apocalyptic number.

It is an amenable number.

405743072 is an abundant number, since it is smaller than the sum of its proper divisors (507179344).

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

405743072 is a wasteful number, since it uses less digits than its factorization.

405743072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811370 (or 1811362 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 405743072 is about 20143.0651093621. The cubic root of 405743072 is about 740.3158330426.

The spelling of 405743072 in words is "four hundred five million, seven hundred forty-three thousand, seventy-two".