405152680 has 16 divisors (see below), whose sum is σ = 911593620. Its totient is φ = 162061056.

The previous prime is 405152651. The next prime is 405152711. The reversal of 405152680 is 86251504.

It can be written as a sum of positive squares in 2 ways, for example, as 403286724 + 1865956 = 20082^2 + 1366^2 .

It is a super-2 number, since 2×405152680² = 328297388222364800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 5064369 + ... + 5064448.

Almost surely, 2^405152680 is an apocalyptic number.

405152680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405152680 is an abundant number, since it is smaller than the sum of its proper divisors (506440940).

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

405152680 is a wasteful number, since it uses less digits than its factorization.

405152680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128828 (or 10128824 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 405152680 is about 20128.4048051504. The cubic root of 405152680 is about 739.9565837688.

The spelling of 405152680 in words is "four hundred five million, one hundred fifty-two thousand, six hundred eighty".