45706752 has 240 divisors, whose sum is σ = 163843680. Its totient is φ = 11943936.

The previous prime is 45706733. The next prime is 45706757. The reversal of 45706752 is 25760754.

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 (45706757) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 419274 + ... + 419382.

It is an arithmetic number, because the mean of its divisors is an integer number (682682).

Almost surely, 2^45706752 is an apocalyptic number.

45706752 is a gapful number since it is divisible by the number (42) 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 45706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81921840).

45706752 is an abundant number, since it is smaller than the sum of its proper divisors (118136928).

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

45706752 is a wasteful number, since it uses less digits than its factorization.

45706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 45706752 is about 6760.6768891879. The cubic root of 45706752 is about 357.5417709192.

The spelling of 45706752 in words is "forty-five million, seven hundred six thousand, seven hundred fifty-two".