45042000 has 80 divisors (see below), whose sum is σ = 145234752. Its totient is φ = 12009600.

The previous prime is 45041939. The next prime is 45042001. The reversal of 45042000 is 24054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45042001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247 + ... + 9753.

Almost surely, 2^45042000 is an apocalyptic number.

45042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72617376).

45042000 is an abundant number, since it is smaller than the sum of its proper divisors (100192752).

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

45042000 is a wasteful number, since it uses less digits than its factorization.

45042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45042000 is about 6711.3336975597. Note that the first 3 decimals coincide. The cubic root of 45042000 is about 355.7999549424.

Adding to 45042000 its reverse (24054), we get a palindrome (45066054).

The spelling of 45042000 in words is "forty-five million, forty-two thousand".