5417287200 has 432 divisors, whose sum is σ = 21247140096. Its totient is φ = 1289779200.

The previous prime is 5417287181. The next prime is 5417287219. The reversal of 5417287200 is 27827145.

It is an interprime number because it is at equal distance from previous prime (5417287181) and next prime (5417287219).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2900667 + ... + 2902533.

Almost surely, 2^5417287200 is an apocalyptic number.

5417287200 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 5417287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623570048).

5417287200 is an abundant number, since it is smaller than the sum of its proper divisors (15829852896).

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

5417287200 is a wasteful number, since it uses less digits than its factorization.

5417287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 5417287200 is about 73602.2227925217. Note that the first 3 decimals coincide. The cubic root of 5417287200 is about 1756.2807997706.

The spelling of 5417287200 in words is "five billion, four hundred seventeen million, two hundred eighty-seven thousand, two hundred".