5946809400 has 360 divisors, whose sum is σ = 23708270520. Its totient is φ = 1353335040.

The previous prime is 5946809381. The next prime is 5946809431. The reversal of 5946809400 is 49086495.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25968486 + ... + 25968714.

It is an arithmetic number, because the mean of its divisors is an integer number (65856307).

Almost surely, 2^5946809400 is an apocalyptic number.

5946809400 is a gapful number since it is divisible by the number (50) 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 5946809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854135260).

5946809400 is an abundant number, since it is smaller than the sum of its proper divisors (17761461120).

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

5946809400 is a wasteful number, since it uses less digits than its factorization.

5946809400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5946809400 is about 77115.5587414109. The cubic root of 5946809400 is about 1811.7349947960.

The spelling of 5946809400 in words is "five billion, nine hundred forty-six million, eight hundred nine thousand, four hundred".