45005970 has 96 divisors (see below), whose sum is σ = 119361600. Its totient is φ = 10845184.

The previous prime is 45005959. The next prime is 45005971. The reversal of 45005970 is 7950054.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45005971) 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, 251341 + ... + 251519.

It is an arithmetic number, because the mean of its divisors is an integer number (1243350).

Almost surely, 2^45005970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45005970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59680800).

45005970 is an abundant number, since it is smaller than the sum of its proper divisors (74355630).

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

45005970 is a wasteful number, since it uses less digits than its factorization.

45005970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 45005970 is about 6708.6488952694. The cubic root of 45005970 is about 355.7050591261.

The spelling of 45005970 in words is "forty-five million, five thousand, nine hundred seventy".