405660768 has 24 divisors (see below), whose sum is σ = 1064859768. Its totient is φ = 135220224.

The previous prime is 405660751. The next prime is 405660799. The reversal of 405660768 is 867066504.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2112721 + ... + 2112912.

It is an arithmetic number, because the mean of its divisors is an integer number (44369157).

Almost surely, 2^405660768 is an apocalyptic number.

405660768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

405660768 is an abundant number, since it is smaller than the sum of its proper divisors (659199000).

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

405660768 is a wasteful number, since it uses less digits than its factorization.

405660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225646 (or 4225638 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 405660768 is about 20141.0220197487. The cubic root of 405660768 is about 740.2657725660.

The spelling of 405660768 in words is "four hundred five million, six hundred sixty thousand, seven hundred sixty-eight".