468786528 has 180 divisors, whose sum is σ = 1604214612. Its totient is φ = 133902720.

The previous prime is 468786523. The next prime is 468786541. The reversal of 468786528 is 825687864.

468786528 is a `hidden beast` number, since 46 + 8 + 78 + 6 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468786523) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125163 + ... + 128853.

Almost surely, 2^468786528 is an apocalyptic number.

468786528 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 468786528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802107306).

468786528 is an abundant number, since it is smaller than the sum of its proper divisors (1135428084).

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

468786528 is a wasteful number, since it uses less digits than its factorization.

468786528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3703 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 468786528 is about 21651.4786562027. The cubic root of 468786528 is about 776.8283039180.

The spelling of 468786528 in words is "four hundred sixty-eight million, seven hundred eighty-six thousand, five hundred twenty-eight".