465914540 has 72 divisors (see below), whose sum is σ = 1225747152. Its totient is φ = 147450240.

The previous prime is 465914539. The next prime is 465914557. The reversal of 465914540 is 45419564.

It is a junction number, because it is equal to n+sod(n) for n = 465914494 and 465914503.

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, 5546 + ... + 31025.

It is an arithmetic number, because the mean of its divisors is an integer number (17024266).

Almost surely, 2^465914540 is an apocalyptic number.

It is an amenable number.

465914540 is an abundant number, since it is smaller than the sum of its proper divisors (759832612).

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

465914540 is a wasteful number, since it uses less digits than its factorization.

465914540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36607 (or 36598 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 465914540 is about 21585.0536251361. The cubic root of 465914540 is about 775.2386583750.

The spelling of 465914540 in words is "four hundred sixty-five million, nine hundred fourteen thousand, five hundred forty".