468778320 has 80 divisors (see below), whose sum is σ = 1614688320. Its totient is φ = 125006976.

The previous prime is 468778313. The next prime is 468778327. The reversal of 468778320 is 23877864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468778313) and next prime (468778327).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×468778320² = 439506226604044800, which contains 22 as substring.

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 (468778327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106354 + ... + 110673.

It is an arithmetic number, because the mean of its divisors is an integer number (20183604).

Almost surely, 2^468778320 is an apocalyptic number.

468778320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468778320 is an abundant number, since it is smaller than the sum of its proper divisors (1145910000).

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

468778320 is a wasteful number, since it uses less digits than its factorization.

468778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217049 (or 217037 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 468778320 is about 21651.2891071178. The cubic root of 468778320 is about 776.8237700534.

The spelling of 468778320 in words is "four hundred sixty-eight million, seven hundred seventy-eight thousand, three hundred twenty".