414724020 has 144 divisors (see below), whose sum is σ = 1258141248. Its totient is φ = 101998080.

The previous prime is 414723977. The next prime is 414724021. The reversal of 414724020 is 20427414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414724021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887827 + ... + 888293.

It is an arithmetic number, because the mean of its divisors is an integer number (8737092).

Almost surely, 2^414724020 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 414724020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629070624).

414724020 is an abundant number, since it is smaller than the sum of its proper divisors (843417228).

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

414724020 is a wasteful number, since it uses less digits than its factorization.

414724020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 414724020 is about 20364.7739982549. The cubic root of 414724020 is about 745.7382109649.

The spelling of 414724020 in words is "four hundred fourteen million, seven hundred twenty-four thousand, twenty".