1725350400 has 360 divisors, whose sum is σ = 6545182644. Its totient is φ = 432537600.

The previous prime is 1725350381. The next prime is 1725350437. The reversal of 1725350400 is 40535271.

It is a happy number.

1725350400 is a `hidden beast` number, since 1 + 7 + 253 + 5 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 573698304 + 1151652096 = 23952^2 + 33936^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1957960 + ... + 1958840.

Almost surely, 2^1725350400 is an apocalyptic number.

1725350400 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 1725350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272591322).

1725350400 is an abundant number, since it is smaller than the sum of its proper divisors (4819832244).

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

1725350400 is a wasteful number, since it uses less digits than its factorization.

1725350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1725350400 is about 41537.3374206869. The cubic root of 1725350400 is about 1199.3863529179.

Adding to 1725350400 its reverse (40535271), we get a palindrome (1765885671).

The spelling of 1725350400 in words is "one billion, seven hundred twenty-five million, three hundred fifty thousand, four hundred".