1556400 has 60 divisors (see below), whose sum is σ = 4989512. Its totient is φ = 414720.

The previous prime is 1556393. The next prime is 1556413. The reversal of 1556400 is 46551.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 1848.

2^1556400 is an apocalyptic number.

1556400 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 1556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494756).

1556400 is an abundant number, since it is smaller than the sum of its proper divisors (3433112).

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

1556400 is a wasteful number, since it uses less digits than its factorization.

1556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1556400 is about 1247.5576139001. The cubic root of 1556400 is about 115.8885175467. Note that the first 3 decimals are identical.

It can be divided in two parts, 155 and 6400, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 1556400 in words is "one million, five hundred fifty-six thousand, four hundred".