16052400 has 360 divisors, whose sum is σ = 69960800. Its totient is φ = 3386880.

The previous prime is 16052381. The next prime is 16052411. The reversal of 16052400 is 425061.

It is a happy number.

16052400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234794 + ... + 1234806.

Almost surely, 2^16052400 is an apocalyptic number.

16052400 is a gapful number since it is divisible by the number (10) 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 16052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34980400).

16052400 is an abundant number, since it is smaller than the sum of its proper divisors (53908400).

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

16052400 is a wasteful number, since it uses less digits than its factorization.

16052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 16052400 is about 4006.5446459512. The cubic root of 16052400 is about 252.2589929880.

Adding to 16052400 its reverse (425061), we get a palindrome (16477461).

It can be divided in two parts, 1605 and 2400, that added together give a triangular number (4005 = T₈₉).

The spelling of 16052400 in words is "sixteen million, fifty-two thousand, four hundred".