45259938 has 64 divisors (see below), whose sum is σ = 109363200. Its totient is φ = 13821840.

The previous prime is 45259937. The next prime is 45259939. The reversal of 45259938 is 83995254.

45259938 is a `hidden beast` number, since 4 + 52 + 599 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45259937) and next prime (45259939).

It is a junction number, because it is equal to n+sod(n) for n = 45259893 and 45259902.

It is not an unprimeable number, because it can be changed into a prime (45259937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31095 + ... + 32517.

It is an arithmetic number, because the mean of its divisors is an integer number (1708800).

Almost surely, 2^45259938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45259938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54681600).

45259938 is an abundant number, since it is smaller than the sum of its proper divisors (64103262).

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

45259938 is a wasteful number, since it uses less digits than its factorization.

45259938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 45259938 is about 6727.5506687055. The cubic root of 45259938 is about 356.3728839237.

The spelling of 45259938 in words is "forty-five million, two hundred fifty-nine thousand, nine hundred thirty-eight".