466827840 has 224 divisors, whose sum is σ = 1672254720. Its totient is φ = 122572800.

The previous prime is 466827833. The next prime is 466827847. The reversal of 466827840 is 48728664.

466827840 is a `hidden beast` number, since 466 + 82 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (466827833) and next prime (466827847).

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 (466827847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613060 + ... + 613820.

Almost surely, 2^466827840 is an apocalyptic number.

466827840 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 466827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836127360).

466827840 is an abundant number, since it is smaller than the sum of its proper divisors (1205426880).

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

466827840 is a wasteful number, since it uses less digits than its factorization.

466827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 466827840 is about 21606.1991104405. The cubic root of 466827840 is about 775.7448766318.

The spelling of 466827840 in words is "four hundred sixty-six million, eight hundred twenty-seven thousand, eight hundred forty".