45382260 has 288 divisors, whose sum is σ = 171601920. Its totient is φ = 8743680.

The previous prime is 45382247. The next prime is 45382273. The reversal of 45382260 is 6228354.

It is an interprime number because it is at equal distance from previous prime (45382247) and next prime (45382273).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965557 + ... + 965603.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 2^45382260 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 45382260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800960).

45382260 is an abundant number, since it is smaller than the sum of its proper divisors (126219660).

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

45382260 is a wasteful number, since it uses less digits than its factorization.

45382260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45382260 is about 6736.6356588434. The cubic root of 45382260 is about 356.6936461186.

The spelling of 45382260 in words is "forty-five million, three hundred eighty-two thousand, two hundred sixty".