1425817600 has 135 divisors (see below), whose sum is σ = 3596866357. Its totient is φ = 560660480.

The previous prime is 1425817583. The next prime is 1425817609. The reversal of 1425817600 is 67185241.

The square root of 1425817600 is 37760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 513294336 + 912523264 = 22656^2 + 30208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1425817609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24166371 + ... + 24166429.

Almost surely, 2^1425817600 is an apocalyptic number.

1425817600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1425817600 is the 37760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1425817600

1425817600 is an abundant number, since it is smaller than the sum of its proper divisors (2171048757).

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

1425817600 is an frugal number, since it uses more digits than its factorization.

1425817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The cubic root of 1425817600 is about 1125.5237330979.

It can be divided in two parts, 1425 and 817600, that added together give a square (819025 = 905²).

The spelling of 1425817600 in words is "one billion, four hundred twenty-five million, eight hundred seventeen thousand, six hundred".