466213280 has 192 divisors, whose sum is σ = 1257379200. Its totient is φ = 162140160.

The previous prime is 466213277. The next prime is 466213303. The reversal of 466213280 is 82312664.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3558815 + ... + 3558945.

It is an arithmetic number, because the mean of its divisors is an integer number (6548850).

Almost surely, 2^466213280 is an apocalyptic number.

466213280 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 466213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628689600).

466213280 is an abundant number, since it is smaller than the sum of its proper divisors (791165920).

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

466213280 is a wasteful number, since it uses less digits than its factorization.

466213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 466213280 is about 21591.9725824205. The cubic root of 466213280 is about 775.4043148748.

The spelling of 466213280 in words is "four hundred sixty-six million, two hundred thirteen thousand, two hundred eighty".