1600225400 has 72 divisors (see below), whose sum is σ = 3764818560. Its totient is φ = 632520000.

The previous prime is 1600225381. The next prime is 1600225409. The reversal of 1600225400 is 45220061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600225409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6375275 + ... + 6375525.

Almost surely, 2^1600225400 is an apocalyptic number.

1600225400 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 1600225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882409280).

1600225400 is an abundant number, since it is smaller than the sum of its proper divisors (2164593160).

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

1600225400 is a wasteful number, since it uses less digits than its factorization.

1600225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1600225400 is about 40002.8174007782. The cubic root of 1600225400 is about 1169.6620155061.

Adding to 1600225400 its reverse (45220061), we get a palindrome (1645445461).

It can be divided in two parts, 1600225 and 400, that multiplied together give a square (640090000 = 25300²).

The spelling of 1600225400 in words is "one billion, six hundred million, two hundred twenty-five thousand, four hundred".