466534440 has 96 divisors (see below), whose sum is σ = 1533378600. Its totient is φ = 123002880.

The previous prime is 466534433. The next prime is 466534447. The reversal of 466534440 is 44435664.

It is an interprime number because it is at equal distance from previous prime (466534433) and next prime (466534447).

It can be written as a sum of positive squares in 4 ways, for example, as 394657956 + 71876484 = 19866^2 + 8478^2 .

It is a super-2 number, since 2×466534440² = 435308767412227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 466534395 and 466534404.

It is not an unprimeable number, because it can be changed into a prime (466534447) 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 23 ways as a sum of consecutive naturals, for example, 24760 + ... + 39320.

Almost surely, 2^466534440 is an apocalyptic number.

466534440 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 466534440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766689300).

466534440 is an abundant number, since it is smaller than the sum of its proper divisors (1066844160).

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

466534440 is a wasteful number, since it uses less digits than its factorization.

466534440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 466534440 is about 21599.4083252297. The cubic root of 466534440 is about 775.5823247396.

The spelling of 466534440 in words is "four hundred sixty-six million, five hundred thirty-four thousand, four hundred forty".