45259488 has 72 divisors (see below), whose sum is σ = 133169400. Its totient is φ = 14563584.

The previous prime is 45259483. The next prime is 45259573. The reversal of 45259488 is 88495254.

45259488 is a `hidden beast` number, since 4 + 52 + 594 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45259483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5643 + ... + 11061.

It is an arithmetic number, because the mean of its divisors is an integer number (1849575).

Almost surely, 2^45259488 is an apocalyptic number.

45259488 is a gapful number since it is divisible by the number (48) 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 45259488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66584700).

45259488 is an abundant number, since it is smaller than the sum of its proper divisors (87909912).

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

45259488 is a wasteful number, since it uses less digits than its factorization.

45259488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5453 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 45259488 is about 6727.5172240582. The cubic root of 45259488 is about 356.3717028326.

The spelling of 45259488 in words is "forty-five million, two hundred fifty-nine thousand, four hundred eighty-eight".