466050240 has 448 divisors, whose sum is σ = 1843430400. Its totient is φ = 110149632.

The previous prime is 466050217. The next prime is 466050241. The reversal of 466050240 is 42050664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (466050241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790637 + ... + 2790803.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^466050240 is an apocalyptic number.

466050240 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 466050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

466050240 is an abundant number, since it is smaller than the sum of its proper divisors (1377380160).

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

466050240 is a wasteful number, since it uses less digits than its factorization.

466050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 466050240 is about 21588.1967750899. The cubic root of 466050240 is about 775.3139151480.

The spelling of 466050240 in words is "four hundred sixty-six million, fifty thousand, two hundred forty".