467625648 has 120 divisors (see below), whose sum is σ = 1404576768. Its totient is φ = 131324544.

The previous prime is 467625637. The next prime is 467625661. The reversal of 467625648 is 846526764.

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 = 467625597 and 467625606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2096865 + ... + 2097087.

Almost surely, 2^467625648 is an apocalyptic number.

467625648 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 467625648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702288384).

467625648 is an abundant number, since it is smaller than the sum of its proper divisors (936951120).

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

467625648 is a wasteful number, since it uses less digits than its factorization.

467625648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 314 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 467625648 is about 21624.6537082100. The cubic root of 467625648 is about 776.1865406930.

The spelling of 467625648 in words is "four hundred sixty-seven million, six hundred twenty-five thousand, six hundred forty-eight".