4526400 has 168 divisors, whose sum is σ = 15873984. Its totient is φ = 1126400.

The previous prime is 4526393. The next prime is 4526411. The reversal of 4526400 is 46254.

It is a happy number.

It is a congruent number.

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, 110380 + ... + 110420.

It is an arithmetic number, because the mean of its divisors is an integer number (94488).

Almost surely, 2^4526400 is an apocalyptic number.

4526400 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 4526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936992).

4526400 is an abundant number, since it is smaller than the sum of its proper divisors (11347584).

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

4526400 is a wasteful number, since it uses less digits than its factorization.

4526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

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

The square root of 4526400 is about 2127.5337835156. The cubic root of 4526400 is about 165.4185882422.

The spelling of 4526400 in words is "four million, five hundred twenty-six thousand, four hundred".