414013626 has 32 divisors (see below), whose sum is σ = 990803520. Its totient is φ = 127388592.

The previous prime is 414013603. The next prime is 414013627. The reversal of 414013626 is 626310414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 414013626.

It is not an unprimeable number, because it can be changed into a prime (414013627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294180 + ... + 295583.

It is an arithmetic number, because the mean of its divisors is an integer number (30962610).

Almost surely, 2^414013626 is an apocalyptic number.

414013626 is an abundant number, since it is smaller than the sum of its proper divisors (576789894).

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

414013626 is a wasteful number, since it uses less digits than its factorization.

414013626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589787 (or 589781 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 414013626 is about 20347.3247873031. The cubic root of 414013626 is about 745.3121680233.

It can be divided in two parts, 4140 and 13626, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 414013626 in words is "four hundred fourteen million, thirteen thousand, six hundred twenty-six".