468394080 has 768 divisors, whose sum is σ = 2090188800. Its totient is φ = 85155840.

The previous prime is 468394067. The next prime is 468394117. The reversal of 468394080 is 80493864.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 16151506 + ... + 16151534.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^468394080 is an apocalyptic number.

468394080 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 468394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045094400).

468394080 is an abundant number, since it is smaller than the sum of its proper divisors (1621794720).

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

468394080 is a wasteful number, since it uses less digits than its factorization.

468394080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 468394080 is about 21642.4139134247. The cubic root of 468394080 is about 776.6114676049.

The spelling of 468394080 in words is "four hundred sixty-eight million, three hundred ninety-four thousand, eighty".