45761760 has 288 divisors, whose sum is σ = 178319232. Its totient is φ = 10990080.

The previous prime is 45761759. The next prime is 45761809. The reversal of 45761760 is 6716754.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 427627 + ... + 427733.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 2^45761760 is an apocalyptic number.

45761760 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 45761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616).

45761760 is an abundant number, since it is smaller than the sum of its proper divisors (132557472).

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

45761760 is a wasteful number, since it uses less digits than its factorization.

45761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45761760 is about 6764.7438975914. The cubic root of 45761760 is about 357.6851470591.

It can be divided in two parts, 4576 and 1760, that added together give a palindrome (6336).

The spelling of 45761760 in words is "forty-five million, seven hundred sixty-one thousand, seven hundred sixty".