2415404432 has 240 divisors, whose sum is σ = 6106752000. Its totient is φ = 918973440.

The previous prime is 2415404417. The next prime is 2415404449. The reversal of 2415404432 is 2344045142.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 2415404395 and 2415404404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16210694 + ... + 16210842.

It is an arithmetic number, because the mean of its divisors is an integer number (25444800).

Almost surely, 2^2415404432 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 2415404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376000).

2415404432 is an abundant number, since it is smaller than the sum of its proper divisors (3691347568).

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

2415404432 is a wasteful number, since it uses less digits than its factorization.

2415404432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 2415404432 is about 49146.7642068122. The cubic root of 2415404432 is about 1341.7243028380.

Adding to 2415404432 its reverse (2344045142), we get a palindrome (4759449574).

The spelling of 2415404432 in words is "two billion, four hundred fifteen million, four hundred four thousand, four hundred thirty-two".