467399808 has 112 divisors (see below), whose sum is σ = 1396362150. Its totient is φ = 155768832.

The previous prime is 467399797. The next prime is 467399837. The reversal of 467399808 is 808993764.

It can be written as a sum of positive squares in only one way, i.e., 403527744 + 63872064 = 20088^2 + 7992^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 90808 + ... + 95816.

Almost surely, 2^467399808 is an apocalyptic number.

467399808 is a gapful number since it is divisible by the number (48) 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 467399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698181075).

467399808 is an abundant number, since it is smaller than the sum of its proper divisors (928962342).

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

467399808 is an frugal number, since it uses more digits than its factorization.

467399808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 467399808 is about 21619.4312598644. The cubic root of 467399808 is about 776.0615673687.

The spelling of 467399808 in words is "four hundred sixty-seven million, three hundred ninety-nine thousand, eight hundred eight".