45005004 has 96 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 13305600.

The previous prime is 45004979. The next prime is 45005017. The reversal of 45005004 is 40050054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50644 + ... + 51524.

It is an arithmetic number, because the mean of its divisors is an integer number (1358280).

Almost surely, 2^45005004 is an apocalyptic number.

45005004 is a gapful number since it is divisible by the number (44) 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 45005004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65197440).

45005004 is an abundant number, since it is smaller than the sum of its proper divisors (85389876).

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

45005004 is a wasteful number, since it uses less digits than its factorization.

45005004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45005004 is about 6708.5768982699. The cubic root of 45005004 is about 355.7025141782.

Adding to 45005004 its reverse (40050054), we get a palindrome (85055058).

The spelling of 45005004 in words is "forty-five million, five thousand, four".