1468211472 has 240 divisors, whose sum is σ = 5324242560. Its totient is φ = 366778368.

The previous prime is 1468211441. The next prime is 1468211489. The reversal of 1468211472 is 2741128641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246028 + ... + 251924.

It is an arithmetic number, because the mean of its divisors is an integer number (22184344).

Almost surely, 2^1468211472 is an apocalyptic number.

1468211472 is a gapful number since it is divisible by the number (12) 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 1468211472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662121280).

1468211472 is an abundant number, since it is smaller than the sum of its proper divisors (3856031088).

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

1468211472 is a wasteful number, since it uses less digits than its factorization.

1468211472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5941 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1468211472 is about 38317.2477090931. The cubic root of 1468211472 is about 1136.5700413884.

The spelling of 1468211472 in words is "one billion, four hundred sixty-eight million, two hundred eleven thousand, four hundred seventy-two".