468973080 has 96 divisors (see below), whose sum is σ = 1530977760. Its totient is φ = 124500480.

The previous prime is 468973079. The next prime is 468973081. The reversal of 468973080 is 80379864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468973079) and next prime (468973081).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (468973081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81085 + ... + 86675.

It is an arithmetic number, because the mean of its divisors is an integer number (15947685).

Almost surely, 2^468973080 is an apocalyptic number.

468973080 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 468973080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765488880).

468973080 is an abundant number, since it is smaller than the sum of its proper divisors (1062004680).

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

468973080 is a wasteful number, since it uses less digits than its factorization.

468973080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 468973080 is about 21655.7862937368. The cubic root of 468973080 is about 776.9313356435.

The spelling of 468973080 in words is "four hundred sixty-eight million, nine hundred seventy-three thousand, eighty".