414328720 has 40 divisors (see below), whose sum is σ = 1037417976. Its totient is φ = 152982528.

The previous prime is 414328679. The next prime is 414328723. The reversal of 414328720 is 27823414.

It can be written as a sum of positive squares in 4 ways, for example, as 8386816 + 405941904 = 2896^2 + 20148^2 .

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 (414328723) 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, 198157 + ... + 200236.

Almost surely, 2^414328720 is an apocalyptic number.

414328720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414328720 is an abundant number, since it is smaller than the sum of its proper divisors (623089256).

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

414328720 is a wasteful number, since it uses less digits than its factorization.

414328720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398419 (or 398413 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 414328720 is about 20355.0661998432. The cubic root of 414328720 is about 745.5011987098.

The spelling of 414328720 in words is "four hundred fourteen million, three hundred twenty-eight thousand, seven hundred twenty".