468829440 has 108 divisors (see below), whose sum is σ = 1622140884. Its totient is φ = 125018112.

The previous prime is 468829411. The next prime is 468829441. The reversal of 468829440 is 44928864.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 408363264 = 7776^2 + 20208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468829441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8829 + ... + 31868.

It is an arithmetic number, because the mean of its divisors is an integer number (15019823).

Almost surely, 2^468829440 is an apocalyptic number.

468829440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468829440 is an abundant number, since it is smaller than the sum of its proper divisors (1153311444).

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

468829440 is a wasteful number, since it uses less digits than its factorization.

468829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40724 (or 40707 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468829440 is about 21652.4696051051. The cubic root of 468829440 is about 776.8520064187.

The spelling of 468829440 in words is "four hundred sixty-eight million, eight hundred twenty-nine thousand, four hundred forty".