405372032 has 32 divisors (see below), whose sum is σ = 869701980. Its totient is φ = 187094016.

The previous prime is 405372031. The next prime is 405372047. The reversal of 405372032 is 230273504.

It can be written as a sum of positive squares in 2 ways, for example, as 404170816 + 1201216 = 20104^2 + 1096^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 405371992 and 405372010.

It is not an unprimeable number, because it can be changed into a prime (405372031) 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, 120143 + ... + 123470.

Almost surely, 2^405372032 is an apocalyptic number.

It is an amenable number.

405372032 is an abundant number, since it is smaller than the sum of its proper divisors (464329948).

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

405372032 is a wasteful number, since it uses less digits than its factorization.

405372032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243640 (or 243628 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 405372032 is about 20133.8528851286. The cubic root of 405372032 is about 740.0900985986.

The spelling of 405372032 in words is "four hundred five million, three hundred seventy-two thousand, thirty-two".