467988480 has 156 divisors (see below), whose sum is σ = 1622800920. Its totient is φ = 124747776.

The previous prime is 467988467. The next prime is 467988481. The reversal of 467988480 is 84889764.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467988481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183051 + ... + 185589.

It is an arithmetic number, because the mean of its divisors is an integer number (10402570).

Almost surely, 2^467988480 is an apocalyptic number.

467988480 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 467988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811400460).

467988480 is an abundant number, since it is smaller than the sum of its proper divisors (1154812440).

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

467988480 is a wasteful number, since it uses less digits than its factorization.

467988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 467988480 is about 21633.0413950512. The cubic root of 467988480 is about 776.3872372043.

It can be divided in two parts, 46798 and 8480, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 467988480 in words is "four hundred sixty-seven million, nine hundred eighty-eight thousand, four hundred eighty".