1468811520 has 432 divisors, whose sum is σ = 5659198272. Its totient is φ = 348733440.

The previous prime is 1468811503. The next prime is 1468811537. The reversal of 1468811520 is 251188641.

1468811520 is a `hidden beast` number, since 1 + 46 + 88 + 11 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1468811503) and next prime (1468811537).

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 8490154 + ... + 8490326.

It is an arithmetic number, because the mean of its divisors is an integer number (13099996).

Almost surely, 2^1468811520 is an apocalyptic number.

1468811520 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 1468811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829599136).

1468811520 is an abundant number, since it is smaller than the sum of its proper divisors (4190386752).

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

1468811520 is a wasteful number, since it uses less digits than its factorization.

1468811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1468811520 is about 38325.0769079463. The cubic root of 1468811520 is about 1136.7248564372.

The spelling of 1468811520 in words is "one billion, four hundred sixty-eight million, eight hundred eleven thousand, five hundred twenty".