4868400 has 60 divisors (see below), whose sum is σ = 15598952. Its totient is φ = 1297920.

The previous prime is 4868377. The next prime is 4868407. The reversal of 4868400 is 48684.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4868407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829 + ... + 3228.

Almost surely, 2^4868400 is an apocalyptic number.

4868400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4868400 is an abundant number, since it is smaller than the sum of its proper divisors (10730552).

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

4868400 is a wasteful number, since it uses less digits than its factorization.

4868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4868400 is about 2206.4451046876. The cubic root of 4868400 is about 169.4840179500.

Multiplying 4868400 by its reverse (48684), we get a square (237013185600 = 486840²).

4868400 divided by its reverse (48684) gives a square (100 = 10²).

The spelling of 4868400 in words is "four million, eight hundred sixty-eight thousand, four hundred".