468826512 has 120 divisors (see below), whose sum is σ = 1537035552. Its totient is φ = 121766400.

The previous prime is 468826507. The next prime is 468826517. The reversal of 468826512 is 215628864.

It is an interprime number because it is at equal distance from previous prime (468826507) and next prime (468826517).

It is a super-2 number, since 2×468826512² = 439596596708172288, which contains 22 as substring.

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 (468826517) 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, 16812 + ... + 34932.

Almost surely, 2^468826512 is an apocalyptic number.

468826512 is a gapful number since it is divisible by the number (42) 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 468826512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768517776).

468826512 is an abundant number, since it is smaller than the sum of its proper divisors (1068209040).

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

468826512 is a wasteful number, since it uses less digits than its factorization.

468826512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18157 (or 18144 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 468826512 is about 21652.4019914651. The cubic root of 468826512 is about 776.8503891799.

The spelling of 468826512 in words is "four hundred sixty-eight million, eight hundred twenty-six thousand, five hundred twelve".