1578459960 has 896 divisors, whose sum is σ = 7177075200. Its totient is φ = 302330880.

The previous prime is 1578459907. The next prime is 1578459991. The reversal of 1578459960 is 699548751.

1578459960 is a `hidden beast` number, since 1 + 578 + 4 + 5 + 9 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1578459897 and 1578459906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 42661062 + ... + 42661098.

Almost surely, 2^1578459960 is an apocalyptic number.

1578459960 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 1578459960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588537600).

1578459960 is an abundant number, since it is smaller than the sum of its proper divisors (5598615240).

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

1578459960 is a wasteful number, since it uses less digits than its factorization.

1578459960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 1578459960 is about 39729.8371504339. The cubic root of 1578459960 is about 1164.3347427095.

The spelling of 1578459960 in words is "one billion, five hundred seventy-eight million, four hundred fifty-nine thousand, nine hundred sixty".