466325376240 has 160 divisors (see below), whose sum is σ = 1449646502400. Its totient is φ = 124006671360.

The previous prime is 466325376217. The next prime is 466325376247. The reversal of 466325376240 is 42673523664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 466325376240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466325376247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162992410 + ... + 162995270.

It is an arithmetic number, because the mean of its divisors is an integer number (9060290640).

Almost surely, 2^466325376240 is an apocalyptic number.

466325376240 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 466325376240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724823251200).

466325376240 is an abundant number, since it is smaller than the sum of its proper divisors (983321126160).

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

466325376240 is a wasteful number, since it uses less digits than its factorization.

466325376240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 466325376240 in words is "four hundred sixty-six billion, three hundred twenty-five million, three hundred seventy-six thousand, two hundred forty".