405137680 has 40 divisors (see below), whose sum is σ = 944539992. Its totient is φ = 161608704.

The previous prime is 405137597. The next prime is 405137699. The reversal of 405137680 is 86731504.

It can be written as a sum of positive squares in 4 ways, for example, as 145154304 + 259983376 = 12048^2 + 16124^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 23052 + ... + 36628.

Almost surely, 2^405137680 is an apocalyptic number.

405137680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405137680 is an abundant number, since it is smaller than the sum of its proper divisors (539402312).

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

405137680 is a wasteful number, since it uses less digits than its factorization.

405137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13963 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 405137680 is about 20128.0321939329. The cubic root of 405137680 is about 739.9474518323.

The spelling of 405137680 in words is "four hundred five million, one hundred thirty-seven thousand, six hundred eighty".