1825744400 has 60 divisors (see below), whose sum is σ = 4396309764. Its totient is φ = 728640000.

The previous prime is 1825744399. The next prime is 1825744433. The reversal of 1825744400 is 44475281.

It can be written as a sum of positive squares in 6 ways, for example, as 6210064 + 1819534336 = 2492^2 + 42656^2 .

It is a super-4 number, since 4×1825744400⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 179450 + ... + 189350.

Almost surely, 2^1825744400 is an apocalyptic number.

1825744400 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 1825744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198154882).

1825744400 is an abundant number, since it is smaller than the sum of its proper divisors (2570565364).

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

1825744400 is a wasteful number, since it uses less digits than its factorization.

1825744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 1825744400 is about 42728.7303813254. The cubic root of 1825744400 is about 1222.2123254785.

The spelling of 1825744400 in words is "one billion, eight hundred twenty-five million, seven hundred forty-four thousand, four hundred".