45252480 has 384 divisors, whose sum is σ = 185582880. Its totient is φ = 9289728.

The previous prime is 45252463. The next prime is 45252511. The reversal of 45252480 is 8425254.

45252480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223022 + ... + 1223058.

Almost surely, 2^45252480 is an apocalyptic number.

45252480 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 45252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92791440).

45252480 is an abundant number, since it is smaller than the sum of its proper divisors (140330400).

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

45252480 is a wasteful number, since it uses less digits than its factorization.

45252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45252480 is about 6726.9963579595. The cubic root of 45252480 is about 356.3533082968.

The spelling of 45252480 in words is "forty-five million, two hundred fifty-two thousand, four hundred eighty".