1468414752 has 144 divisors (see below), whose sum is σ = 4539138912. Its totient is φ = 414382080.

The previous prime is 1468414747. The next prime is 1468414757. The reversal of 1468414752 is 2574148641.

It is an interprime number because it is at equal distance from previous prime (1468414747) and next prime (1468414757).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1468414757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388552 + ... + 392312.

It is an arithmetic number, because the mean of its divisors is an integer number (31521798).

Almost surely, 2^1468414752 is an apocalyptic number.

1468414752 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 1468414752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269569456).

1468414752 is an abundant number, since it is smaller than the sum of its proper divisors (3070724160).

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

1468414752 is a wasteful number, since it uses less digits than its factorization.

1468414752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3856 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 1468414752 is about 38319.9002086383. The cubic root of 1468414752 is about 1136.6224932548.

The spelling of 1468414752 in words is "one billion, four hundred sixty-eight million, four hundred fourteen thousand, seven hundred fifty-two".