468729648 has 60 divisors (see below), whose sum is σ = 1323871120. Its totient is φ = 154804608.

The previous prime is 468729629. The next prime is 468729683. The reversal of 468729648 is 846927864.

It is a super-3 number, since 3×468729648³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468729594 and 468729603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765 + ... + 30627.

Almost surely, 2^468729648 is an apocalyptic number.

468729648 is a gapful number since it is divisible by the number (48) 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 468729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661935560).

468729648 is an abundant number, since it is smaller than the sum of its proper divisors (855141472).

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

468729648 is a wasteful number, since it uses less digits than its factorization.

468729648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29986 (or 29977 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 468729648 is about 21650.1650802020. The cubic root of 468729648 is about 776.7968839443.

The spelling of 468729648 in words is "four hundred sixty-eight million, seven hundred twenty-nine thousand, six hundred forty-eight".