415420252820 has 96 divisors (see below), whose sum is σ = 936193658400. Its totient is φ = 154290438144.

The previous prime is 415420252739. The next prime is 415420252823. The reversal of 415420252820 is 28252024514.

It can be written as a sum of positive squares in 16 ways, for example, as 47386323856 + 368033928964 = 217684^2 + 606658^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415420252823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8610926 + ... + 8659034.

It is an arithmetic number, because the mean of its divisors is an integer number (9752017275).

Almost surely, 2^415420252820 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 415420252820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468096829200).

415420252820 is an abundant number, since it is smaller than the sum of its proper divisors (520773405580).

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

415420252820 is a wasteful number, since it uses less digits than its factorization.

415420252820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48477 (or 48475 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 415420252820 in words is "four hundred fifteen billion, four hundred twenty million, two hundred fifty-two thousand, eight hundred twenty".