466765440 has 256 divisors, whose sum is σ = 1573084800. Its totient is φ = 117555200.

The previous prime is 466765423. The next prime is 466765451. The reversal of 466765440 is 44567664.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 466765392 and 466765401.

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, 4621390 + ... + 4621490.

Almost surely, 2^466765440 is an apocalyptic number.

466765440 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 466765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786542400).

466765440 is an abundant number, since it is smaller than the sum of its proper divisors (1106319360).

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

466765440 is a wasteful number, since it uses less digits than its factorization.

466765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 466765440 is about 21604.7550321683. The cubic root of 466765440 is about 775.7103109717.

It can be divided in two parts, 4667 and 65440, that added together give a palindrome (70107).

The spelling of 466765440 in words is "four hundred sixty-six million, seven hundred sixty-five thousand, four hundred forty".