1745568400 has 45 divisors (see below), whose sum is σ = 4195736571. Its totient is φ = 697893120.

The previous prime is 1745568397. The next prime is 1745568413. The reversal of 1745568400 is 48655471.

The square root of 1745568400 is 41780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 144288144 + 1601280256 = 12012^2 + 40016^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 834556 + ... + 836644.

Almost surely, 2^1745568400 is an apocalyptic number.

1745568400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1745568400 is the 41780-th square number.

It is an amenable number.

1745568400 is an abundant number, since it is smaller than the sum of its proper divisors (2450168171).

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

1745568400 is an frugal number, since it uses more digits than its factorization.

1745568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The cubic root of 1745568400 is about 1204.0530544716.

The spelling of 1745568400 in words is "one billion, seven hundred forty-five million, five hundred sixty-eight thousand, four hundred".