1468491552 has 384 divisors, whose sum is σ = 5062176000. Its totient is φ = 409190400.

The previous prime is 1468491539. The next prime is 1468491593. The reversal of 1468491552 is 2551948641.

1468491552 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 4 + 91 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1468491498 and 1468491507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9855574 + ... + 9855722.

It is an arithmetic number, because the mean of its divisors is an integer number (13182750).

Almost surely, 2^1468491552 is an apocalyptic number.

1468491552 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 1468491552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531088000).

1468491552 is an abundant number, since it is smaller than the sum of its proper divisors (3593684448).

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

1468491552 is a wasteful number, since it uses less digits than its factorization.

1468491552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1468491552 is about 38320.9022858283. The cubic root of 1468491552 is about 1136.6423085206.

The spelling of 1468491552 in words is "one billion, four hundred sixty-eight million, four hundred ninety-one thousand, five hundred fifty-two".