468689760 has 384 divisors, whose sum is σ = 2046643200. Its totient is φ = 97320960.

The previous prime is 468689747. The next prime is 468689789. The reversal of 468689760 is 67986864.

It is a super-2 number, since 2×468689760² = 439340182257715200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 468689697 and 468689706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331936 + ... + 333344.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2^468689760 is an apocalyptic number.

468689760 is a gapful number since it is divisible by the number (40) 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 468689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023321600).

468689760 is an abundant number, since it is smaller than the sum of its proper divisors (1577953440).

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

468689760 is a wasteful number, since it uses less digits than its factorization.

468689760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 468689760 is about 21649.2438667035. The cubic root of 468689760 is about 776.7748486742.

The spelling of 468689760 in words is "four hundred sixty-eight million, six hundred eighty-nine thousand, seven hundred sixty".