4542400 has 84 divisors (see below), whose sum is σ = 11905488. Its totient is φ = 1699840.

The previous prime is 4542389. The next prime is 4542407. The reversal of 4542400 is 42454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4542407) 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, 27117 + ... + 27283.

It is an arithmetic number, because the mean of its divisors is an integer number (141732).

Almost surely, 2^4542400 is an apocalyptic number.

4542400 is a gapful number since it is divisible by the number (40) 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 4542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952744).

4542400 is an abundant number, since it is smaller than the sum of its proper divisors (7363088).

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

4542400 is a wasteful number, since it uses less digits than its factorization.

4542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 4542400 is about 2131.2906887612. The cubic root of 4542400 is about 165.6132672358.

Adding to 4542400 its reverse (42454), we get a palindrome (4584854).

The spelling of 4542400 in words is "four million, five hundred forty-two thousand, four hundred".