5464200 has 96 divisors (see below), whose sum is σ = 19373760. Its totient is φ = 1248000.

The previous prime is 5464187. The next prime is 5464211. The reversal of 5464200 is 24645.

5464200 = 163² + 164² + ... + 274².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3550 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (201810).

Almost surely, 2^5464200 is an apocalyptic number.

5464200 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 5464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

5464200 is an abundant number, since it is smaller than the sum of its proper divisors (13909560).

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

5464200 is a wasteful number, since it uses less digits than its factorization.

5464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5464200 is about 2337.5628333801. The cubic root of 5464200 is about 176.1335934733.

Adding to 5464200 its reverse (24645), we get a palindrome (5488845).

The spelling of 5464200 in words is "five million, four hundred sixty-four thousand, two hundred".