465973248 has 104 divisors (see below), whose sum is σ = 1338474928. Its totient is φ = 143327232.

The previous prime is 465973219. The next prime is 465973273. The reversal of 465973248 is 842379564.

It is a tau number, because it is divible by the number of its divisors (104).

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 = 465973197 and 465973206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158286 + ... + 161202.

Almost surely, 2^465973248 is an apocalyptic number.

465973248 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 465973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669237464).

465973248 is an abundant number, since it is smaller than the sum of its proper divisors (872501680).

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

465973248 is a wasteful number, since it uses less digits than its factorization.

465973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2935 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 465973248 is about 21586.4135047951. The cubic root of 465973248 is about 775.2712185663.

The spelling of 465973248 in words is "four hundred sixty-five million, nine hundred seventy-three thousand, two hundred forty-eight".