466214840 has 128 divisors (see below), whose sum is σ = 1298626560. Its totient is φ = 146686464.

The previous prime is 466214831. The next prime is 466214843. The reversal of 466214840 is 48412664.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 466214840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466214843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957077 + ... + 957563.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2^466214840 is an apocalyptic number.

466214840 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 466214840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649313280).

466214840 is an abundant number, since it is smaller than the sum of its proper divisors (832411720).

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

466214840 is a wasteful number, since it uses less digits than its factorization.

466214840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 466214840 is about 21592.0087069267. The cubic root of 466214840 is about 775.4051797360.

The spelling of 466214840 in words is "four hundred sixty-six million, two hundred fourteen thousand, eight hundred forty".