466293408 has 216 divisors, whose sum is σ = 1516953312. Its totient is φ = 125389824.

The previous prime is 466293403. The next prime is 466293409. The reversal of 466293408 is 804392664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 466293408.

It is not an unprimeable number, because it can be changed into a prime (466293403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27429016 + ... + 27429032.

It is an arithmetic number, because the mean of its divisors is an integer number (7022932).

Almost surely, 2^466293408 is an apocalyptic number.

466293408 is a gapful number since it is divisible by the number (48) 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 466293408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758476656).

466293408 is an abundant number, since it is smaller than the sum of its proper divisors (1050659904).

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

466293408 is an frugal number, since it uses more digits than its factorization.

466293408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 466293408 is about 21593.8280070950. The cubic root of 466293408 is about 775.4487352008.

Multiplying 466293408 by its sum of digits (42), we get a square (19584323136 = 139944²).

466293408 divided by its sum of digits (42) gives a square (11102224 = 3332²).

The spelling of 466293408 in words is "four hundred sixty-six million, two hundred ninety-three thousand, four hundred eight".