1468416960 has 84 divisors (see below), whose sum is σ = 5050752408. Its totient is φ = 391577088.

The previous prime is 1468416947. The next prime is 1468416967. The reversal of 1468416960 is 696148641.

1468416960 is a `hidden beast` number, since 146 + 8 + 416 + 96 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468416967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252054 + ... + 257813.

Almost surely, 2^1468416960 is an apocalyptic number.

1468416960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468416960 is an abundant number, since it is smaller than the sum of its proper divisors (3582335448).

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

1468416960 is a wasteful number, since it uses less digits than its factorization.

1468416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509890 (or 509877 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1468416960 is about 38319.9290187234. The cubic root of 1468416960 is about 1136.6230629534.

The spelling of 1468416960 in words is "one billion, four hundred sixty-eight million, four hundred sixteen thousand, nine hundred sixty".