465267648 has 56 divisors (see below), whose sum is σ = 1273484880. Its totient is φ = 149739520.

The previous prime is 465267643. The next prime is 465267653. The reversal of 465267648 is 846762564.

It is an interprime number because it is at equal distance from previous prime (465267643) and next prime (465267653).

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 = 465267597 and 465267606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465267643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36213 + ... + 47348.

Almost surely, 2^465267648 is an apocalyptic number.

465267648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

465267648 is an abundant number, since it is smaller than the sum of its proper divisors (808217232).

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

465267648 is a wasteful number, since it uses less digits than its factorization.

465267648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83605 (or 83595 counting only the distinct ones).

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

The square root of 465267648 is about 21570.0636994887. The cubic root of 465267648 is about 774.8797027295.

The spelling of 465267648 in words is "four hundred sixty-five million, two hundred sixty-seven thousand, six hundred forty-eight".