465738506240 has 896 divisors, whose sum is σ = 1467581276160. Its totient is φ = 138047127552.

The previous prime is 465738506231. The next prime is 465738506249. The reversal of 465738506240 is 42605837564.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (465738506231) and next prime (465738506249).

It is a tau number, because it is divible by the number of its divisors (896).

It is not an unprimeable number, because it can be changed into a prime (465738506249) 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 63 ways as a sum of consecutive naturals, for example, 4352696267 + ... + 4352696373.

Almost surely, 2^465738506240 is an apocalyptic number.

465738506240 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 465738506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733790638080).

465738506240 is an abundant number, since it is smaller than the sum of its proper divisors (1001842769920).

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

465738506240 is a wasteful number, since it uses less digits than its factorization.

465738506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 50.

The spelling of 465738506240 in words is "four hundred sixty-five billion, seven hundred thirty-eight million, five hundred six thousand, two hundred forty".