467710880 has 216 divisors, whose sum is σ = 1395792972. Its totient is φ = 147603456.

The previous prime is 467710847. The next prime is 467710891. The reversal of 467710880 is 88017764.

It can be written as a sum of positive squares in 6 ways, for example, as 34904464 + 432806416 = 5908^2 + 20804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324784 + ... + 1325136.

Almost surely, 2^467710880 is an apocalyptic number.

467710880 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 467710880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697896486).

467710880 is an abundant number, since it is smaller than the sum of its proper divisors (928082092).

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

467710880 is a wasteful number, since it uses less digits than its factorization.

467710880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 467710880 is about 21626.6243320589. The cubic root of 467710880 is about 776.2336951584.

The spelling of 467710880 in words is "four hundred sixty-seven million, seven hundred ten thousand, eight hundred eighty".