1461004350 has 96 divisors (see below), whose sum is σ = 3914749440. Its totient is φ = 358458240.

The previous prime is 1461004339. The next prime is 1461004387. The reversal of 1461004350 is 534001641.

It is a self number, because there is not a number n which added to its sum of digits gives 1461004350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699007 + ... + 701093.

It is an arithmetic number, because the mean of its divisors is an integer number (40778640).

Almost surely, 2^1461004350 is an apocalyptic number.

1461004350 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 1461004350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957374720).

1461004350 is an abundant number, since it is smaller than the sum of its proper divisors (2453745090).

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

1461004350 is a wasteful number, since it uses less digits than its factorization.

1461004350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1461004350 is about 38223.0866100581. The cubic root of 1461004350 is about 1134.7072672973.

Adding to 1461004350 its reverse (534001641), we get a palindrome (1995005991).

The spelling of 1461004350 in words is "one billion, four hundred sixty-one million, four thousand, three hundred fifty".