4562400 has 72 divisors (see below), whose sum is σ = 14858424. Its totient is φ = 1216000.

The previous prime is 4562381. The next prime is 4562401. The reversal of 4562400 is 42654.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4562401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450 + ... + 3350.

It is an arithmetic number, because the mean of its divisors is an integer number (206367).

Almost surely, 2^4562400 is an apocalyptic number.

4562400 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 4562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429212).

4562400 is an abundant number, since it is smaller than the sum of its proper divisors (10296024).

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

4562400 is a wasteful number, since it uses less digits than its factorization.

4562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1911 counting only the distinct ones).

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

The square root of 4562400 is about 2135.9775279717. The cubic root of 4562400 is about 165.8559741708.

The spelling of 4562400 in words is "four million, five hundred sixty-two thousand, four hundred".