466965840 has 160 divisors (see below), whose sum is σ = 1599897600. Its totient is φ = 111720960.

The previous prime is 466965817. The next prime is 466965883. The reversal of 466965840 is 48569664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 466965840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207441 + ... + 209679.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2^466965840 is an apocalyptic number.

466965840 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 466965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

466965840 is an abundant number, since it is smaller than the sum of its proper divisors (1132931760).

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

466965840 is a wasteful number, since it uses less digits than its factorization.

466965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 466965840 is about 21609.3924023791. The cubic root of 466965840 is about 775.8213089814.

The spelling of 466965840 in words is "four hundred sixty-six million, nine hundred sixty-five thousand, eight hundred forty".