414729440 has 48 divisors (see below), whose sum is σ = 985527648. Its totient is φ = 164921856.

The previous prime is 414729421. The next prime is 414729443. The reversal of 414729440 is 44927414.

It is a self number, because there is not a number n which added to its sum of digits gives 414729440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414729443) 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 7 ways as a sum of consecutive naturals, for example, 20189 + ... + 35171.

It is an arithmetic number, because the mean of its divisors is an integer number (20531826).

Almost surely, 2^414729440 is an apocalyptic number.

414729440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492763824).

414729440 is an abundant number, since it is smaller than the sum of its proper divisors (570798208).

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

414729440 is a wasteful number, since it uses less digits than its factorization.

414729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15171 (or 15163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 414729440 is about 20364.9070707430. The cubic root of 414729440 is about 745.7414596180.

The spelling of 414729440 in words is "four hundred fourteen million, seven hundred twenty-nine thousand, four hundred forty".