1825295472 has 720 divisors, whose sum is σ = 7347779712. Its totient is φ = 431101440.

The previous prime is 1825295447. The next prime is 1825295489. The reversal of 1825295472 is 2745925281.

1825295472 is a `hidden beast` number, since 1 + 8 + 2 + 529 + 54 + 72 = 666.

Its product of digits (403200) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27243183 + ... + 27243249.

Almost surely, 2^1825295472 is an apocalyptic number.

1825295472 is a gapful number since it is divisible by the number (12) 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 1825295472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673889856).

1825295472 is an abundant number, since it is smaller than the sum of its proper divisors (5522484240).

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

1825295472 is a wasteful number, since it uses less digits than its factorization.

1825295472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1825295472 is about 42723.4768248091. The cubic root of 1825295472 is about 1222.1121416279.

The spelling of 1825295472 in words is "one billion, eight hundred twenty-five million, two hundred ninety-five thousand, four hundred seventy-two".