1579482240 has 512 divisors, whose sum is σ = 6317015040. Its totient is φ = 327352320.

The previous prime is 1579482221. The next prime is 1579482241. The reversal of 1579482240 is 422849751.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1579482192 and 1579482201.

It is not an unprimeable number, because it can be changed into a prime (1579482241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7082769 + ... + 7082991.

It is an arithmetic number, because the mean of its divisors is an integer number (12337920).

Almost surely, 2^1579482240 is an apocalyptic number.

1579482240 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 1579482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158507520).

1579482240 is an abundant number, since it is smaller than the sum of its proper divisors (4737532800).

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

1579482240 is a wasteful number, since it uses less digits than its factorization.

1579482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1579482240 is about 39742.7004618458. The cubic root of 1579482240 is about 1164.5860465722.

The spelling of 1579482240 in words is "one billion, five hundred seventy-nine million, four hundred eighty-two thousand, two hundred forty".