5414707200 has 336 divisors, whose sum is σ = 20477439360. Its totient is φ = 1236664320.

The previous prime is 5414707171. The next prime is 5414707201. The reversal of 5414707200 is 27074145.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414707201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300171 + ... + 4301429.

It is an arithmetic number, because the mean of its divisors is an integer number (60944760).

Almost surely, 2^5414707200 is an apocalyptic number.

5414707200 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 5414707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238719680).

5414707200 is an abundant number, since it is smaller than the sum of its proper divisors (15062732160).

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

5414707200 is a wasteful number, since it uses less digits than its factorization.

5414707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 5414707200 is about 73584.6940606537. The cubic root of 5414707200 is about 1756.0019440863.

The spelling of 5414707200 in words is "five billion, four hundred fourteen million, seven hundred seven thousand, two hundred".