45838260 has 144 divisors (see below), whose sum is σ = 157772160. Its totient is φ = 10679040.

The previous prime is 45838259. The next prime is 45838277. The reversal of 45838260 is 6283854.

It is a super-2 number, since 2×45838260² = 4202292159655200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 43945 + ... + 44975.

It is an arithmetic number, because the mean of its divisors is an integer number (1095640).

Almost surely, 2^45838260 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 45838260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78886080).

45838260 is an abundant number, since it is smaller than the sum of its proper divisors (111933900).

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

45838260 is a wasteful number, since it uses less digits than its factorization.

45838260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45838260 is about 6770.3958525333. The cubic root of 45838260 is about 357.8843503557.

The spelling of 45838260 in words is "forty-five million, eight hundred thirty-eight thousand, two hundred sixty".