5909144400 has 600 divisors, whose sum is σ = 23163175200. Its totient is φ = 1437004800.

The previous prime is 5909144347. The next prime is 5909144401. The reversal of 5909144400 is 44419095.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5909144401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17852235 + ... + 17852565.

It is an arithmetic number, because the mean of its divisors is an integer number (38605292).

Almost surely, 2^5909144400 is an apocalyptic number.

5909144400 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 5909144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581587600).

5909144400 is an abundant number, since it is smaller than the sum of its proper divisors (17254030800).

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

5909144400 is a wasteful number, since it uses less digits than its factorization.

5909144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5909144400 is about 76870.9594060072. The cubic root of 5909144400 is about 1807.9019267683.

The spelling of 5909144400 in words is "five billion, nine hundred nine million, one hundred forty-four thousand, four hundred".