1415828160 has 140 divisors (see below), whose sum is σ = 5036442048. Its totient is φ = 377547264.

The previous prime is 1415828137. The next prime is 1415828179. The reversal of 1415828160 is 618285141.

1415828160 is a `hidden beast` number, since 1 + 415 + 82 + 8 + 160 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1392 + ... + 53231.

Almost surely, 2^1415828160 is an apocalyptic number.

1415828160 is a gapful number since it is divisible by the number (10) 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 1415828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518221024).

1415828160 is an abundant number, since it is smaller than the sum of its proper divisors (3620613888).

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

1415828160 is an equidigital number, since it uses as much as digits as its factorization.

1415828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54652 (or 54633 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1415828160 is about 37627.4920769376. The cubic root of 1415828160 is about 1122.8890548424.

The spelling of 1415828160 in words is "one billion, four hundred fifteen million, eight hundred twenty-eight thousand, one hundred sixty".