415642420 has 96 divisors (see below), whose sum is σ = 938843136. Its totient is φ = 154291200.

The previous prime is 415642417. The next prime is 415642441. The reversal of 415642420 is 24246514.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2109762 + ... + 2109958.

It is an arithmetic number, because the mean of its divisors is an integer number (9779616).

Almost surely, 2^415642420 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 415642420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469421568).

415642420 is an abundant number, since it is smaller than the sum of its proper divisors (523200716).

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

415642420 is a wasteful number, since it uses less digits than its factorization.

415642420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 415642420 is about 20387.3102688903. The cubic root of 415642420 is about 746.2882804123.

Adding to 415642420 its reverse (24246514), we get a palindrome (439888934).

The spelling of 415642420 in words is "four hundred fifteen million, six hundred forty-two thousand, four hundred twenty".