464101326 has 192 divisors, whose sum is σ = 1238328000. Its totient is φ = 128894976.

The previous prime is 464101303. The next prime is 464101361. The reversal of 464101326 is 623101464.

464101326 is a `hidden beast` number, since 4 + 641 + 0 + 13 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 464101326.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3114700 + ... + 3114848.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2^464101326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464101326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

464101326 is an abundant number, since it is smaller than the sum of its proper divisors (774226674).

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

464101326 is a wasteful number, since it uses less digits than its factorization.

464101326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 464101326 is about 21543.0110708786. The cubic root of 464101326 is about 774.2316775364.

The spelling of 464101326 in words is "four hundred sixty-four million, one hundred one thousand, three hundred twenty-six".