405472680 has 48 divisors (see below), whose sum is σ = 1317787380. Its totient is φ = 108125952.

The previous prime is 405472663. The next prime is 405472687. The reversal of 405472680 is 86274504.

It can be written as a sum of positive squares in 2 ways, for example, as 339959844 + 65512836 = 18438^2 + 8094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (405472687) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 562797 + ... + 563516.

Almost surely, 2^405472680 is an apocalyptic number.

405472680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405472680 is an abundant number, since it is smaller than the sum of its proper divisors (912314700).

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

405472680 is a wasteful number, since it uses less digits than its factorization.

405472680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126330 (or 1126323 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 405472680 is about 20136.3522019257. The cubic root of 405472680 is about 740.1513447449.

The spelling of 405472680 in words is "four hundred five million, four hundred seventy-two thousand, six hundred eighty".