1468419840 has 216 divisors, whose sum is σ = 5269865328. Its totient is φ = 391495680.

The previous prime is 1468419803. The next prime is 1468419871. The reversal of 1468419840 is 489148641.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 308680 + ... + 313400.

Almost surely, 2^1468419840 is an apocalyptic number.

1468419840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634932664).

1468419840 is an abundant number, since it is smaller than the sum of its proper divisors (3801445488).

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

1468419840 is an frugal number, since it uses more digits than its factorization.

1468419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1468419840 is about 38319.9665970627. The cubic root of 1468419840 is about 1136.6238060375.

The spelling of 1468419840 in words is "one billion, four hundred sixty-eight million, four hundred nineteen thousand, eight hundred forty".