1879541200 has 90 divisors (see below), whose sum is σ = 4570779314. Its totient is φ = 742709760.

The previous prime is 1879541189. The next prime is 1879541201. The reversal of 1879541200 is 21459781.

It can be written as a sum of positive squares in 9 ways, for example, as 48385936 + 1831155264 = 6956^2 + 42792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1879541200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1879541201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10864314 + ... + 10864486.

Almost surely, 2^1879541200 is an apocalyptic number.

1879541200 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 1879541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285389657).

1879541200 is an abundant number, since it is smaller than the sum of its proper divisors (2691238114).

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

1879541200 is a wasteful number, since it uses less digits than its factorization.

1879541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 1879541200 is about 43353.6757380502. The cubic root of 1879541200 is about 1234.1007511864.

It can be divided in two parts, 18795 and 41200, that added together give a palindrome (59995).

The spelling of 1879541200 in words is "one billion, eight hundred seventy-nine million, five hundred forty-one thousand, two hundred".