1049578800 has 240 divisors, whose sum is σ = 3471777792. Its totient is φ = 270950400.

The previous prime is 1049578799. The next prime is 1049578813. The reversal of 1049578800 is 88759401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1049578800² = 2203231314818880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8264337 + ... + 8264463.

Almost surely, 2^1049578800 is an apocalyptic number.

1049578800 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 1049578800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735888896).

1049578800 is an abundant number, since it is smaller than the sum of its proper divisors (2422198992).

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

1049578800 is a wasteful number, since it uses less digits than its factorization.

1049578800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1049578800 is about 32397.2035830255. The cubic root of 1049578800 is about 1016.2604319253.

The spelling of 1049578800 in words is "one billion, forty-nine million, five hundred seventy-eight thousand, eight hundred".