1578961440 has 432 divisors, whose sum is σ = 6402037824. Its totient is φ = 347120640.

The previous prime is 1578961429. The next prime is 1578961459. The reversal of 1578961440 is 441698751.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9686799 + ... + 9686961.

It is an arithmetic number, because the mean of its divisors is an integer number (14819532).

Almost surely, 2^1578961440 is an apocalyptic number.

1578961440 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 1578961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201018912).

1578961440 is an abundant number, since it is smaller than the sum of its proper divisors (4823076384).

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

1578961440 is a wasteful number, since it uses less digits than its factorization.

1578961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1578961440 is about 39736.1477750423. The cubic root of 1578961440 is about 1164.4580335073.

The spelling of 1578961440 in words is "one billion, five hundred seventy-eight million, nine hundred sixty-one thousand, four hundred forty".