468077320 has 128 divisors (see below), whose sum is σ = 1160490240. Its totient is φ = 169205760.

The previous prime is 468077299. The next prime is 468077321. The reversal of 468077320 is 23770864.

It is a self number, because there is not a number n which added to its sum of digits gives 468077320.

It is not an unprimeable number, because it can be changed into a prime (468077321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2871559 + ... + 2871721.

It is an arithmetic number, because the mean of its divisors is an integer number (9066330).

Almost surely, 2^468077320 is an apocalyptic number.

468077320 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 468077320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580245120).

468077320 is an abundant number, since it is smaller than the sum of its proper divisors (692412920).

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

468077320 is a wasteful number, since it uses less digits than its factorization.

468077320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 468077320 is about 21635.0946381106. The cubic root of 468077320 is about 776.4363622583.

The spelling of 468077320 in words is "four hundred sixty-eight million, seventy-seven thousand, three hundred twenty".