415261320 has 128 divisors (see below), whose sum is σ = 1330560000. Its totient is φ = 103428864.

The previous prime is 415261291. The next prime is 415261331. The reversal of 415261320 is 23162514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116931 + ... + 120429.

It is an arithmetic number, because the mean of its divisors is an integer number (10395000).

Almost surely, 2^415261320 is an apocalyptic number.

415261320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415261320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280000).

415261320 is an abundant number, since it is smaller than the sum of its proper divisors (915298680).

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

415261320 is a wasteful number, since it uses less digits than its factorization.

415261320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 415261320 is about 20377.9616252460. The cubic root of 415261320 is about 746.0601216079.

The spelling of 415261320 in words is "four hundred fifteen million, two hundred sixty-one thousand, three hundred twenty".