45596460 has 144 divisors (see below), whose sum is σ = 160072416. Its totient is φ = 9612288.

The previous prime is 45596459. The next prime is 45596471. The reversal of 45596460 is 6469554.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37624 + ... + 38816.

It is an arithmetic number, because the mean of its divisors is an integer number (1111614).

Almost surely, 2^45596460 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 45596460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80036208).

45596460 is an abundant number, since it is smaller than the sum of its proper divisors (114475956).

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

45596460 is a wasteful number, since it uses less digits than its factorization.

45596460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 45596460 is about 6752.5150869880. The cubic root of 45596460 is about 357.2539523337.

It can be divided in two parts, 45596 and 460, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 45596460 in words is "forty-five million, five hundred ninety-six thousand, four hundred sixty".