405761680 has 40 divisors (see below), whose sum is σ = 954012600. Its totient is φ = 160478208.

The previous prime is 405761677. The next prime is 405761683. The reversal of 405761680 is 86167504.

It is an interprime number because it is at equal distance from previous prime (405761677) and next prime (405761683).

It can be written as a sum of positive squares in 4 ways, for example, as 53523856 + 352237824 = 7316^2 + 18768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (405761683) 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, 21375 + ... + 35614.

It is an arithmetic number, because the mean of its divisors is an integer number (23850315).

Almost surely, 2^405761680 is an apocalyptic number.

405761680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405761680 is an abundant number, since it is smaller than the sum of its proper divisors (548250920).

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

405761680 is a wasteful number, since it uses less digits than its factorization.

405761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57091 (or 57085 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 405761680 is about 20143.5270000067. The cubic root of 405761680 is about 740.3271502097.

The spelling of 405761680 in words is "four hundred five million, seven hundred sixty-one thousand, six hundred eighty".