5949466200 has 576 divisors, whose sum is σ = 23154768000. Its totient is φ = 1410877440.

The previous prime is 5949466157. The next prime is 5949466207. The reversal of 5949466200 is 26649495.

It is a super-2 number, since 2×5949466200² = 70792296129884880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5949466207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15697611 + ... + 15697989.

It is an arithmetic number, because the mean of its divisors is an integer number (40199250).

Almost surely, 2^5949466200 is an apocalyptic number.

5949466200 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 5949466200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577384000).

5949466200 is an abundant number, since it is smaller than the sum of its proper divisors (17205301800).

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

5949466200 is a wasteful number, since it uses less digits than its factorization.

5949466200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5949466200 is about 77132.7829136224. The cubic root of 5949466200 is about 1812.0047585507.

The spelling of 5949466200 in words is "five billion, nine hundred forty-nine million, four hundred sixty-six thousand, two hundred".