1468991520 has 216 divisors, whose sum is σ = 5196034116. Its totient is φ = 377911296.

The previous prime is 1468991507. The next prime is 1468991527. The reversal of 1468991520 is 251998641.

1468991520 is a `hidden beast` number, since 1 + 46 + 89 + 9 + 1 + 520 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 275427216 + 1193564304 = 16596^2 + 34548^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1468991527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1210434 + ... + 1211646.

Almost surely, 2^1468991520 is an apocalyptic number.

1468991520 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 1468991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598017058).

1468991520 is an abundant number, since it is smaller than the sum of its proper divisors (3727042596).

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

1468991520 is a wasteful number, since it uses less digits than its factorization.

1468991520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1468991520 is about 38327.4251678873. The cubic root of 1468991520 is about 1136.7712890153.

The spelling of 1468991520 in words is "one billion, four hundred sixty-eight million, nine hundred ninety-one thousand, five hundred twenty".