415252020 has 96 divisors (see below), whose sum is σ = 1191407616. Its totient is φ = 108035200.

The previous prime is 415252007. The next prime is 415252021. The reversal of 415252020 is 20252514.

It is a happy number.

It is a super-2 number, since 2×415252020² = 344868480228160800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415252021) 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, 455365 + ... + 456275.

It is an arithmetic number, because the mean of its divisors is an integer number (12410496).

Almost surely, 2^415252020 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 415252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595703808).

415252020 is an abundant number, since it is smaller than the sum of its proper divisors (776155596).

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

415252020 is a wasteful number, since it uses less digits than its factorization.

415252020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 415252020 is about 20377.7334362779. The cubic root of 415252020 is about 746.0545520942.

The spelling of 415252020 in words is "four hundred fifteen million, two hundred fifty-two thousand, twenty".