1456665930 has 112 divisors (see below), whose sum is σ = 3954001824. Its totient is φ = 386195040.

The previous prime is 1456665907. The next prime is 1456665941. The reversal of 1456665930 is 395666541.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1537717 + ... + 1538663.

Almost surely, 2^1456665930 is an apocalyptic number.

1456665930 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 1456665930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977000912).

1456665930 is an abundant number, since it is smaller than the sum of its proper divisors (2497335894).

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

1456665930 is an equidigital number, since it uses as much as digits as its factorization.

1456665930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 1456665930 is about 38166.2931131647. The cubic root of 1456665930 is about 1133.5829910398.

The spelling of 1456665930 in words is "one billion, four hundred fifty-six million, six hundred sixty-five thousand, nine hundred thirty".