5849190400 has 117 divisors (see below), whose sum is σ = 14565162481. Its totient is φ = 2329886720.

The previous prime is 5849190353. The next prime is 5849190419. The reversal of 5849190400 is 40919485.

The square root of 5849190400 is 76480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2105708544 + 3743481856 = 45888^2 + 61184^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24473481 + ... + 24473719.

Almost surely, 2^5849190400 is an apocalyptic number.

5849190400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5849190400 is the 76480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5849190400

5849190400 is an abundant number, since it is smaller than the sum of its proper divisors (8715972081).

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

5849190400 is an frugal number, since it uses more digits than its factorization.

5849190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The cubic root of 5849190400 is about 1801.7668248422.

It can be divided in two parts, 5849 and 190400, that added together give a square (196249 = 443²).

The spelling of 5849190400 in words is "five billion, eight hundred forty-nine million, one hundred ninety thousand, four hundred".