1461848850 has 480 divisors, whose sum is σ = 5251538880. Its totient is φ = 296352000.

The previous prime is 1461848833. The next prime is 1461848863. The reversal of 1461848850 is 588481641.

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 = 1461848796 and 1461848805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35654830 + ... + 35654870.

It is an arithmetic number, because the mean of its divisors is an integer number (10940706).

Almost surely, 2^1461848850 is an apocalyptic number.

1461848850 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 1461848850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625769440).

1461848850 is an abundant number, since it is smaller than the sum of its proper divisors (3789690030).

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

1461848850 is a wasteful number, since it uses less digits than its factorization.

1461848850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1461848850 is about 38234.1320027015. The cubic root of 1461848850 is about 1134.9258556753.

The spelling of 1461848850 in words is "one billion, four hundred sixty-one million, eight hundred forty-eight thousand, eight hundred fifty".