1723216400 has 120 divisors (see below), whose sum is σ = 4460116320. Its totient is φ = 637701120.

The previous prime is 1723216399. The next prime is 1723216459. The reversal of 1723216400 is 46123271.

It is a super-2 number, since 2×1723216400² = 5938949522457920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1723216400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324164 + ... + 329436.

It is an arithmetic number, because the mean of its divisors is an integer number (37167636).

Almost surely, 2^1723216400 is an apocalyptic number.

1723216400 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 1723216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230058160).

1723216400 is an abundant number, since it is smaller than the sum of its proper divisors (2736899920).

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

1723216400 is a wasteful number, since it uses less digits than its factorization.

1723216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1723216400 is about 41511.6417406009. The cubic root of 1723216400 is about 1198.8916618224.

Adding to 1723216400 its reverse (46123271), we get a palindrome (1769339671).

The spelling of 1723216400 in words is "one billion, seven hundred twenty-three million, two hundred sixteen thousand, four hundred".