1582959420 has 288 divisors, whose sum is σ = 5902460928. Its totient is φ = 335149056.

The previous prime is 1582959409. The next prime is 1582959451. The reversal of 1582959420 is 249592851.

It is a happy number.

1582959420 is a `hidden beast` number, since 1 + 58 + 2 + 9 + 594 + 2 + 0 = 666.

1582959420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 1434589 + ... + 1435691.

It is an arithmetic number, because the mean of its divisors is an integer number (20494656).

Almost surely, 2^1582959420 is an apocalyptic number.

1582959420 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 1582959420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951230464).

1582959420 is an abundant number, since it is smaller than the sum of its proper divisors (4319501508).

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

1582959420 is a wasteful number, since it uses less digits than its factorization.

1582959420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1582959420 is about 39786.4225584558. The cubic root of 1582959420 is about 1165.4400199479.

The spelling of 1582959420 in words is "one billion, five hundred eighty-two million, nine hundred fifty-nine thousand, four hundred twenty".