464351328 has 216 divisors, whose sum is σ = 1605148272. Its totient is φ = 124710912.

The previous prime is 464351291. The next prime is 464351341. The reversal of 464351328 is 823153464.

464351328 is a `hidden beast` number, since 4 + 643 + 5 + 1 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 464351292 and 464351301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582226 + ... + 583022.

It is an arithmetic number, because the mean of its divisors is an integer number (7431242).

Almost surely, 2^464351328 is an apocalyptic number.

464351328 is a gapful number since it is divisible by the number (48) 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 464351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802574136).

464351328 is an abundant number, since it is smaller than the sum of its proper divisors (1140796944).

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

464351328 is a wasteful number, since it uses less digits than its factorization.

464351328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 826 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 464351328 is about 21548.8126819090. The cubic root of 464351328 is about 774.3706735644.

The spelling of 464351328 in words is "four hundred sixty-four million, three hundred fifty-one thousand, three hundred twenty-eight".