405693960 has 128 divisors (see below), whose sum is σ = 1399956480. Its totient is φ = 92130048.

The previous prime is 405693919. The next prime is 405693973. The reversal of 405693960 is 69396504.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135439 + ... + 138401.

It is an arithmetic number, because the mean of its divisors is an integer number (10937160).

Almost surely, 2^405693960 is an apocalyptic number.

405693960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405693960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699978240).

405693960 is an abundant number, since it is smaller than the sum of its proper divisors (994262520).

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

405693960 is a wasteful number, since it uses less digits than its factorization.

405693960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 405693960 is about 20141.8459928578. The cubic root of 405693960 is about 740.2859620390.

The spelling of 405693960 in words is "four hundred five million, six hundred ninety-three thousand, nine hundred sixty".