1461648430 has 32 divisors (see below), whose sum is σ = 2969123040. Its totient is φ = 513179520.

The previous prime is 1461648403. The next prime is 1461648431. The reversal of 1461648430 is 348461641.

It is a super-2 number, since 2×1461648430² = 4272832265842929800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1461648430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461648431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225909 + ... + 232288.

It is an arithmetic number, because the mean of its divisors is an integer number (92785095).

Almost surely, 2^1461648430 is an apocalyptic number.

1461648430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1461648430 is an abundant number, since it is smaller than the sum of its proper divisors (1507474610).

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

1461648430 is a wasteful number, since it uses less digits than its factorization.

1461648430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458244.

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 1461648430 is about 38231.5109562779. The cubic root of 1461648430 is about 1134.8739870579.

The spelling of 1461648430 in words is "one billion, four hundred sixty-one million, six hundred forty-eight thousand, four hundred thirty".