413528840 has 32 divisors (see below), whose sum is σ = 960456960. Its totient is φ = 160075200.

The previous prime is 413528833. The next prime is 413528849. The reversal of 413528840 is 48825314.

It is a super-2 number, since 2×413528840² = 342012203023491200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413528840.

It is not an unprimeable number, because it can be changed into a prime (413528849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165506 + ... + 167985.

It is an arithmetic number, because the mean of its divisors is an integer number (30014280).

Almost surely, 2^413528840 is an apocalyptic number.

413528840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413528840 is an abundant number, since it is smaller than the sum of its proper divisors (546928120).

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

413528840 is a wasteful number, since it uses less digits than its factorization.

413528840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333533 (or 333529 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 413528840 is about 20335.4085279839. The cubic root of 413528840 is about 745.0211485971.

The spelling of 413528840 in words is "four hundred thirteen million, five hundred twenty-eight thousand, eight hundred forty".