468628864 has 128 divisors (see below), whose sum is σ = 1101600000. Its totient is φ = 196331520.

The previous prime is 468628837. The next prime is 468628871. The reversal of 468628864 is 468826864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×468628864² = 439226024347860992, which contains 22 as substring.

Its product of digits (3538944) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938887 + ... + 939385.

It is an arithmetic number, because the mean of its divisors is an integer number (8606250).

Almost surely, 2^468628864 is an apocalyptic number.

468628864 is a gapful number since it is divisible by the number (44) 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 468628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800000).

468628864 is an abundant number, since it is smaller than the sum of its proper divisors (632971136).

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

468628864 is a wasteful number, since it uses less digits than its factorization.

468628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 52.

The square root of 468628864 is about 21647.8373977633. The cubic root of 468628864 is about 776.7412055738.

The spelling of 468628864 in words is "four hundred sixty-eight million, six hundred twenty-eight thousand, eight hundred sixty-four".