414029056 has 144 divisors (see below), whose sum is σ = 1012515840. Its totient is φ = 165150720.

The previous prime is 414029051. The next prime is 414029071. The reversal of 414029056 is 650920414.

It is a super-2 number, since 2×414029056² = 342840118424502272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414029051) 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 15 ways as a sum of consecutive naturals, for example, 1610880 + ... + 1611136.

It is an arithmetic number, because the mean of its divisors is an integer number (7031360).

Almost surely, 2^414029056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506257920).

414029056 is an abundant number, since it is smaller than the sum of its proper divisors (598486784).

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

414029056 is a wasteful number, since it uses less digits than its factorization.

414029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 414029056 is about 20347.7039490946. The cubic root of 414029056 is about 745.3214269970.

The spelling of 414029056 in words is "four hundred fourteen million, twenty-nine thousand, fifty-six".