468740320 has 48 divisors (see below), whose sum is σ = 1172546928. Its totient is φ = 176465920.

The previous prime is 468740281. The next prime is 468740323. The reversal of 468740320 is 23047864.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468740323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83446 + ... + 88885.

It is an arithmetic number, because the mean of its divisors is an integer number (24428061).

Almost surely, 2^468740320 is an apocalyptic number.

468740320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468740320 is an abundant number, since it is smaller than the sum of its proper divisors (703806608).

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

468740320 is a wasteful number, since it uses less digits than its factorization.

468740320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172363 (or 172355 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 468740320 is about 21650.4115434326. The cubic root of 468740320 is about 776.8027792498.

The spelling of 468740320 in words is "four hundred sixty-eight million, seven hundred forty thousand, three hundred twenty".