45201024 has 256 divisors, whose sum is σ = 154224000. Its totient is φ = 12902400.

The previous prime is 45201001. The next prime is 45201031. The reversal of 45201024 is 42010254.

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

It is a junction number, because it is equal to n+sod(n) for n = 45200988 and 45201006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102444 + ... + 1102484.

Almost surely, 2^45201024 is an apocalyptic number.

45201024 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 45201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

45201024 is an abundant number, since it is smaller than the sum of its proper divisors (109022976).

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

45201024 is a wasteful number, since it uses less digits than its factorization.

45201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45201024 is about 6723.1706805643. The cubic root of 45201024 is about 356.2181888493.

Adding to 45201024 its reverse (42010254), we get a palindrome (87211278).

The spelling of 45201024 in words is "forty-five million, two hundred one thousand, twenty-four".