405313152 has 32 divisors (see below), whose sum is σ = 1076614080. Its totient is φ = 135104256.

The previous prime is 405313151. The next prime is 405313157. The reversal of 405313152 is 251313504.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (405313151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 527368 + ... + 528135.

It is an arithmetic number, because the mean of its divisors is an integer number (33644190).

Almost surely, 2^405313152 is an apocalyptic number.

It is an amenable number.

405313152 is an abundant number, since it is smaller than the sum of its proper divisors (671300928).

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

405313152 is a wasteful number, since it uses less digits than its factorization.

405313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055520 (or 1055508 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 405313152 is about 20132.3906181059. The cubic root of 405313152 is about 740.0542643431.

Adding to 405313152 its reverse (251313504), we get a palindrome (656626656).

It can be divided in two parts, 4053 and 13152, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 405313152 in words is "four hundred five million, three hundred thirteen thousand, one hundred fifty-two".