4152400 has 60 divisors (see below), whose sum is σ = 11408992. Its totient is φ = 1422720.

The previous prime is 4152389. The next prime is 4152409. The reversal of 4152400 is 42514.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152409) 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, 2059 + ... + 3541.

Almost surely, 2^4152400 is an apocalyptic number.

4152400 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 4152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704496).

4152400 is an abundant number, since it is smaller than the sum of its proper divisors (7256592).

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

4152400 is a wasteful number, since it uses less digits than its factorization.

4152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4152400 is about 2037.7438504385. The cubic root of 4152400 is about 160.7310298839.

Adding to 4152400 its reverse (42514), we get a palindrome (4194914).

It can be divided in two parts, 41 and 52400, that added together give a square (52441 = 229²).

The spelling of 4152400 in words is "four million, one hundred fifty-two thousand, four hundred".