414254252020 has 192 divisors, whose sum is σ = 1036215452160. Its totient is φ = 136107417600.

The previous prime is 414254251967. The next prime is 414254252021. The reversal of 414254252020 is 20252452414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414254252021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377624112 + ... + 377625208.

It is an arithmetic number, because the mean of its divisors is an integer number (5396955480).

Almost surely, 2^414254252020 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 414254252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518107726080).

414254252020 is an abundant number, since it is smaller than the sum of its proper divisors (621961200140).

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

414254252020 is a wasteful number, since it uses less digits than its factorization.

414254252020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The spelling of 414254252020 in words is "four hundred fourteen billion, two hundred fifty-four million, two hundred fifty-two thousand, twenty".