466678960 has 80 divisors (see below), whose sum is σ = 1221921792. Its totient is φ = 164217600.

The previous prime is 466678937. The next prime is 466678963. The reversal of 466678960 is 69876664.

466678960 = T₂₃₇₆ + T₂₃₇₇ + ... + T₂₅₃₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 466678898 and 466678907.

It is not an unprimeable number, because it can be changed into a prime (466678963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18727 + ... + 35833.

Almost surely, 2^466678960 is an apocalyptic number.

466678960 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 466678960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610960896).

466678960 is an abundant number, since it is smaller than the sum of its proper divisors (755242832).

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

466678960 is a wasteful number, since it uses less digits than its factorization.

466678960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17162 (or 17156 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The square root of 466678960 is about 21602.7535281964. The cubic root of 466678960 is about 775.6624014185.

The spelling of 466678960 in words is "four hundred sixty-six million, six hundred seventy-eight thousand, nine hundred sixty".