405252384 has 24 divisors (see below), whose sum is σ = 1063787760. Its totient is φ = 135084096.

The previous prime is 405252373. The next prime is 405252389. The reversal of 405252384 is 483252504.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (405252389) 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 3 ways as a sum of consecutive naturals, for example, 2110594 + ... + 2110785.

It is an arithmetic number, because the mean of its divisors is an integer number (44324490).

Almost surely, 2^405252384 is an apocalyptic number.

It is an amenable number.

405252384 is an abundant number, since it is smaller than the sum of its proper divisors (658535376).

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

405252384 is a wasteful number, since it uses less digits than its factorization.

405252384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221392 (or 4221384 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 405252384 is about 20130.8813517938. The cubic root of 405252384 is about 740.0172774150.

The spelling of 405252384 in words is "four hundred five million, two hundred fifty-two thousand, three hundred eighty-four".