464750262432 has 288 divisors, whose sum is σ = 1426402897920. Its totient is φ = 143073630720.

The previous prime is 464750262367. The next prime is 464750262439. The reversal of 464750262432 is 234262057464.

464750262432 is a `hidden beast` number, since 4 + 6 + 47 + 502 + 62 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×464750262432² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464750262439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67635957 + ... + 67642827.

It is an arithmetic number, because the mean of its divisors is an integer number (4952787840).

Almost surely, 2^464750262432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464750262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713201448960).

464750262432 is an abundant number, since it is smaller than the sum of its proper divisors (961652635488).

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

464750262432 is a wasteful number, since it uses less digits than its factorization.

464750262432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 464750262432 in words is "four hundred sixty-four billion, seven hundred fifty million, two hundred sixty-two thousand, four hundred thirty-two".