415201024 has 72 divisors (see below), whose sum is σ = 952340480. Its totient is φ = 176974848.

The previous prime is 415201009. The next prime is 415201067. The reversal of 415201024 is 420102514.

It is a junction number, because it is equal to n+sod(n) for n = 415200992 and 415201010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399097 + ... + 400135.

Almost surely, 2^415201024 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 415201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476170240).

415201024 is an abundant number, since it is smaller than the sum of its proper divisors (537139456).

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

415201024 is a wasteful number, since it uses less digits than its factorization.

415201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 415201024 is about 20376.4821301421. The cubic root of 415201024 is about 746.0240105165.

Adding to 415201024 its reverse (420102514), we get a palindrome (835303538).

The spelling of 415201024 in words is "four hundred fifteen million, two hundred one thousand, twenty-four".