7468200 has 120 divisors (see below), whose sum is σ = 25994430. Its totient is φ = 1987200.

The previous prime is 7468199. The next prime is 7468207. The reversal of 7468200 is 28647.

7468200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4901796 + 2566404 = 2214^2 + 1602^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7468200² = 111548022480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7468207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15970 + ... + 16430.

Almost surely, 2^7468200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997215).

7468200 is an abundant number, since it is smaller than the sum of its proper divisors (18526230).

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

7468200 is a wasteful number, since it uses less digits than its factorization.

7468200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7468200 is about 2732.8007611240. The cubic root of 7468200 is about 195.4663394886.

The spelling of 7468200 in words is "seven million, four hundred sixty-eight thousand, two hundred".