465697728 has 224 divisors, whose sum is σ = 1474744320. Its totient is φ = 143585280.

The previous prime is 465697723. The next prime is 465697753. The reversal of 465697728 is 827796564.

465697728 is a `hidden beast` number, since 4 + 6 + 569 + 7 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465697723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2438113 + ... + 2438303.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^465697728 is an apocalyptic number.

465697728 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 465697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

465697728 is an abundant number, since it is smaller than the sum of its proper divisors (1009046592).

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

465697728 is a wasteful number, since it uses less digits than its factorization.

465697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 465697728 is about 21580.0307692088. The cubic root of 465697728 is about 775.1183880190.

The spelling of 465697728 in words is "four hundred sixty-five million, six hundred ninety-seven thousand, seven hundred twenty-eight".