915828480 has 432 divisors, whose sum is σ = 3723056064. Its totient is φ = 203489280.

The previous prime is 915828461. The next prime is 915828527. The reversal of 915828480 is 84828519.

It is a happy number.

915828480 is a `hidden beast` number, since 91 + 5 + 82 + 8 + 480 = 666.

It is a super-2 number, since 2×915828480² = 1677483609558220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3306102 + ... + 3306378.

Almost surely, 2^915828480 is an apocalyptic number.

915828480 is a gapful number since it is divisible by the number (90) 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 915828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861528032).

915828480 is an abundant number, since it is smaller than the sum of its proper divisors (2807227584).

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

915828480 is a wasteful number, since it uses less digits than its factorization.

915828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 915828480 is about 30262.6581780253. The cubic root of 915828480 is about 971.1166083461.

The spelling of 915828480 in words is "nine hundred fifteen million, eight hundred twenty-eight thousand, four hundred eighty".