5216400 has 300 divisors, whose sum is σ = 22325952. Its totient is φ = 1140480.

The previous prime is 5216381. The next prime is 5216411. The reversal of 5216400 is 46125.

It is a happy number.

5216400 is a `hidden beast` number, since 5 + 21 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226789 + ... + 226811.

Almost surely, 2^5216400 is an apocalyptic number.

5216400 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 5216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162976).

5216400 is an abundant number, since it is smaller than the sum of its proper divisors (17109552).

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

5216400 is a wasteful number, since it uses less digits than its factorization.

5216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5216400 is about 2283.9439572809. The cubic root of 5216400 is about 173.4297622552.

The spelling of 5216400 in words is "five million, two hundred sixteen thousand, four hundred".