45760248 has 128 divisors (see below), whose sum is σ = 135705600. Its totient is φ = 14256000.

The previous prime is 45760241. The next prime is 45760261. The reversal of 45760248 is 84206754.

45760248 is a `hidden beast` number, since 4 + 5 + 7 + 602 + 48 = 666.

It is a super-3 number, since 3×45760248³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45760241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302973 + ... + 303123.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 2^45760248 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 45760248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

45760248 is an abundant number, since it is smaller than the sum of its proper divisors (89945352).

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

45760248 is a wasteful number, since it uses less digits than its factorization.

45760248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45760248 is about 6764.6321407745. The cubic root of 45760248 is about 357.6812076280.

The spelling of 45760248 in words is "forty-five million, seven hundred sixty thousand, two hundred forty-eight".