465399648 has 144 divisors (see below), whose sum is σ = 1579178160. Its totient is φ = 132959232.

The previous prime is 465399643. The next prime is 465399659. The reversal of 465399648 is 846993564.

465399648 is a `hidden beast` number, since 46 + 539 + 9 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 465399594 and 465399603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465399643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36840 + ... + 47832.

It is an arithmetic number, because the mean of its divisors is an integer number (10966515).

Almost surely, 2^465399648 is an apocalyptic number.

465399648 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 465399648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789589080).

465399648 is an abundant number, since it is smaller than the sum of its proper divisors (1113778512).

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

465399648 is a wasteful number, since it uses less digits than its factorization.

465399648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026 (or 11005 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 465399648 is about 21573.1232787466. The cubic root of 465399648 is about 774.9529755720.

The spelling of 465399648 in words is "four hundred sixty-five million, three hundred ninety-nine thousand, six hundred forty-eight".