1825465950 has 384 divisors, whose sum is σ = 6646717440. Its totient is φ = 356659200.

The previous prime is 1825465949. The next prime is 1825465991. The reversal of 1825465950 is 595645281.

1825465950 is a `hidden beast` number, since 1 + 8 + 2 + 54 + 6 + 595 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1825465896 and 1825465905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1766634 + ... + 1767666.

It is an arithmetic number, because the mean of its divisors is an integer number (17309160).

Almost surely, 2^1825465950 is an apocalyptic number.

1825465950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825465950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323358720).

1825465950 is an abundant number, since it is smaller than the sum of its proper divisors (4821251490).

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

1825465950 is a wasteful number, since it uses less digits than its factorization.

1825465950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 1825465950 is about 42725.4719107934. The cubic root of 1825465950 is about 1222.1501878421.

The spelling of 1825465950 in words is "one billion, eight hundred twenty-five million, four hundred sixty-five thousand, nine hundred fifty".