468772640 has 96 divisors (see below), whose sum is σ = 1271096064. Its totient is φ = 160035840.

The previous prime is 468772597. The next prime is 468772663. The reversal of 468772640 is 46277864.

It is a junction number, because it is equal to n+sod(n) for n = 468772591 and 468772600.

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, 309485 + ... + 310995.

It is an arithmetic number, because the mean of its divisors is an integer number (13240584).

Almost surely, 2^468772640 is an apocalyptic number.

468772640 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 468772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635548032).

468772640 is an abundant number, since it is smaller than the sum of its proper divisors (802323424).

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

468772640 is a wasteful number, since it uses less digits than its factorization.

468772640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 468772640 is about 21651.1579367017. The cubic root of 468772640 is about 776.8206325527.

The spelling of 468772640 in words is "four hundred sixty-eight million, seven hundred seventy-two thousand, six hundred forty".