413252040 has 64 divisors (see below), whose sum is σ = 1293667200. Its totient is φ = 105408512.

The previous prime is 413252029. The next prime is 413252053. The reversal of 413252040 is 40252314.

It is a junction number, because it is equal to n+sod(n) for n = 413251998 and 413252016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72105 + ... + 77624.

It is an arithmetic number, because the mean of its divisors is an integer number (20213550).

Almost surely, 2^413252040 is an apocalyptic number.

413252040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413252040 is an abundant number, since it is smaller than the sum of its proper divisors (880415160).

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

413252040 is a wasteful number, since it uses less digits than its factorization.

413252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149766 (or 149762 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 413252040 is about 20328.6015259289. The cubic root of 413252040 is about 744.8548821739.

It can be divided in two parts, 41325 and 2040, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 413252040 in words is "four hundred thirteen million, two hundred fifty-two thousand, forty".