45481953 has 48 divisors (see below), whose sum is σ = 74269440. Its totient is φ = 24480000.

The previous prime is 45481951. The next prime is 45481967. The reversal of 45481953 is 35918454.

45481953 is a nontrivial binomial coefficient, being equal to C(9538, 2).

It is not a de Polignac number, because 45481953 - 2¹ = 45481951 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45481951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181078 + ... + 181328.

It is an arithmetic number, because the mean of its divisors is an integer number (1547280).

Almost surely, 2^45481953 is an apocalyptic number.

45481953 is the 9537-th triangular number and also the 4769-th hexagonal number.

It is an amenable number.

45481953 is a deficient number, since it is larger than the sum of its proper divisors (28787487).

45481953 is a wasteful number, since it uses less digits than its factorization.

45481953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 45481953 is about 6744.0309162992. The cubic root of 45481953 is about 356.9546427636.

The spelling of 45481953 in words is "forty-five million, four hundred eighty-one thousand, nine hundred fifty-three".