45252648 has 96 divisors (see below), whose sum is σ = 144494400. Its totient is φ = 12854592.

The previous prime is 45252637. The next prime is 45252689. The reversal of 45252648 is 84625254.

It is a happy number.

45252648 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261490 + ... + 261662.

It is an arithmetic number, because the mean of its divisors is an integer number (1505150).

Almost surely, 2^45252648 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 45252648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72247200).

45252648 is an abundant number, since it is smaller than the sum of its proper divisors (99241752).

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

45252648 is a wasteful number, since it uses less digits than its factorization.

45252648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 185 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 45252648 is about 6727.0088449474. The cubic root of 45252648 is about 356.3537492840.

The spelling of 45252648 in words is "forty-five million, two hundred fifty-two thousand, six hundred forty-eight".