405680080 has 40 divisors (see below), whose sum is σ = 1015763112. Its totient is φ = 149789184.

The previous prime is 405680059. The next prime is 405680087. The reversal of 405680080 is 80086504.

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 396965776 = 2952^2 + 19924^2 .

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 (405680087) 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, 193999 + ... + 196078.

Almost surely, 2^405680080 is an apocalyptic number.

405680080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405680080 is an abundant number, since it is smaller than the sum of its proper divisors (610083032).

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

405680080 is a wasteful number, since it uses less digits than its factorization.

405680080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390103 (or 390097 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 405680080 is about 20141.5014336072. The cubic root of 405680080 is about 740.2775194794.

The spelling of 405680080 in words is "four hundred five million, six hundred eighty thousand, eighty".