16256400 has 240 divisors, whose sum is σ = 59043840. Its totient is φ = 3801600.

The previous prime is 16256371. The next prime is 16256413. The reversal of 16256400 is 465261.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524385 + ... + 524415.

It is an arithmetic number, because the mean of its divisors is an integer number (246016).

Almost surely, 2^16256400 is an apocalyptic number.

16256400 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 16256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29521920).

16256400 is an abundant number, since it is smaller than the sum of its proper divisors (42787440).

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

16256400 is a wasteful number, since it uses less digits than its factorization.

16256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 16256400 is about 4031.9226183051. The cubic root of 16256400 is about 253.3230990018.

The spelling of 16256400 in words is "sixteen million, two hundred fifty-six thousand, four hundred".