415715328 has 260 divisors, whose sum is σ = 1427199840. Its totient is φ = 118112256.

The previous prime is 415715327. The next prime is 415715381. The reversal of 415715328 is 823517514.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 415715292 and 415715301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415715327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322343 + ... + 2322521.

Almost surely, 2^415715328 is an apocalyptic number.

415715328 is a gapful number since it is divisible by the number (48) 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 415715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713599920).

415715328 is an abundant number, since it is smaller than the sum of its proper divisors (1011484512).

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

415715328 is an equidigital number, since it uses as much as digits as its factorization.

415715328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 415715328 is about 20389.0982635329. The cubic root of 415715328 is about 746.3319134345.

The spelling of 415715328 in words is "four hundred fifteen million, seven hundred fifteen thousand, three hundred twenty-eight".