468709640 has 128 divisors (see below), whose sum is σ = 1276162560. Its totient is φ = 151455744.

The previous prime is 468709627. The next prime is 468709667. The reversal of 468709640 is 46907864.

468709640 = T₂₄₆ + T₂₄₇ + ... + T₁₄₁₃.

It is a junction number, because it is equal to n+sod(n) for n = 468709591 and 468709600.

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 31 ways as a sum of consecutive naturals, for example, 469622 + ... + 470618.

It is an arithmetic number, because the mean of its divisors is an integer number (9970020).

Almost surely, 2^468709640 is an apocalyptic number.

468709640 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 468709640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638081280).

468709640 is an abundant number, since it is smaller than the sum of its proper divisors (807452920).

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

468709640 is a wasteful number, since it uses less digits than its factorization.

468709640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 468709640 is about 21649.7030002723. The cubic root of 468709640 is about 776.7858311101.

The spelling of 468709640 in words is "four hundred sixty-eight million, seven hundred nine thousand, six hundred forty".