468608448 has 224 divisors, whose sum is σ = 1600565760. Its totient is φ = 117411840.

The previous prime is 468608443. The next prime is 468608467. The reversal of 468608448 is 844806864.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 468608397 and 468608406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468608443) 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, 428190 + ... + 429282.

Almost surely, 2^468608448 is an apocalyptic number.

468608448 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 468608448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800282880).

468608448 is an abundant number, since it is smaller than the sum of its proper divisors (1131957312).

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

468608448 is a wasteful number, since it uses less digits than its factorization.

468608448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 468608448 is about 21647.3658443701. The cubic root of 468608448 is about 776.7299257317.

The spelling of 468608448 in words is "four hundred sixty-eight million, six hundred eight thousand, four hundred forty-eight".