466946480 has 400 divisors, whose sum is σ = 1575461664. Its totient is φ = 126443520.

The previous prime is 466946479. The next prime is 466946507. The reversal of 466946480 is 84649664.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27467432 + ... + 27467448.

Almost surely, 2^466946480 is an apocalyptic number.

466946480 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 466946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787730832).

466946480 is an abundant number, since it is smaller than the sum of its proper divisors (1108515184).

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

466946480 is a wasteful number, since it uses less digits than its factorization.

466946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The square root of 466946480 is about 21608.9444443730. The cubic root of 466946480 is about 775.8105872063.

The spelling of 466946480 in words is "four hundred sixty-six million, nine hundred forty-six thousand, four hundred eighty".