465725540 has 96 divisors (see below), whose sum is σ = 1198955520. Its totient is φ = 148322304.

The previous prime is 465725537. The next prime is 465725581. The reversal of 465725540 is 45527564.

465725540 is nontrivially palindromic in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 465725494 and 465725503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186782 + ... + 189258.

It is an arithmetic number, because the mean of its divisors is an integer number (12489120).

Almost surely, 2^465725540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465725540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599477760).

465725540 is an abundant number, since it is smaller than the sum of its proper divisors (733229980).

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

465725540 is a wasteful number, since it uses less digits than its factorization.

465725540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 38.

The square root of 465725540 is about 21580.6751516258. The cubic root of 465725540 is about 775.1338180302.

The spelling of 465725540 in words is "four hundred sixty-five million, seven hundred twenty-five thousand, five hundred forty".