467378960 has 40 divisors (see below), whose sum is σ = 1150580376. Its totient is φ = 175953920.

The previous prime is 467378959. The next prime is 467378999. The reversal of 467378960 is 69873764.

It can be written as a sum of positive squares in 4 ways, for example, as 3579664 + 463799296 = 1892^2 + 21536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 467378899 and 467378908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170471 + ... + 173190.

Almost surely, 2^467378960 is an apocalyptic number.

467378960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467378960 is an abundant number, since it is smaller than the sum of its proper divisors (683201416).

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

467378960 is a wasteful number, since it uses less digits than its factorization.

467378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343691 (or 343685 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The square root of 467378960 is about 21618.9490956429. The cubic root of 467378960 is about 776.0500286590.

The spelling of 467378960 in words is "four hundred sixty-seven million, three hundred seventy-eight thousand, nine hundred sixty".