405801680 has 40 divisors (see below), whose sum is σ = 945501984. Its totient is φ = 161974400.

The previous prime is 405801653. The next prime is 405801689. The reversal of 405801680 is 86108504.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405801689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34115 + ... + 44445.

Almost surely, 2^405801680 is an apocalyptic number.

405801680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405801680 is an abundant number, since it is smaller than the sum of its proper divisors (539700304).

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

405801680 is a wasteful number, since it uses less digits than its factorization.

405801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835 (or 10829 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 405801680 is about 20144.5198503216. The cubic root of 405801680 is about 740.3514765688.

The spelling of 405801680 in words is "four hundred five million, eight hundred one thousand, six hundred eighty".