467758080 has 132 divisors (see below), whose sum is σ = 1620929232. Its totient is φ = 124723200.

The previous prime is 467758073. The next prime is 467758087. The reversal of 467758080 is 80857764.

467758080 is a `hidden beast` number, since 4 + 67 + 7 + 580 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (467758073) and next prime (467758087).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (467758087) 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, 41005 + ... + 51155.

Almost surely, 2^467758080 is an apocalyptic number.

467758080 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 467758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810464616).

467758080 is an abundant number, since it is smaller than the sum of its proper divisors (1153171152).

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

467758080 is a wasteful number, since it uses less digits than its factorization.

467758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 467758080 is about 21627.7155520411. The cubic root of 467758080 is about 776.2598060171.

The spelling of 467758080 in words is "four hundred sixty-seven million, seven hundred fifty-eight thousand, eighty".