45776640 has 288 divisors, whose sum is σ = 181310976. Its totient is φ = 9584640.

The previous prime is 45776609. The next prime is 45776651. The reversal of 45776640 is 4667754.

45776640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 349375 + ... + 349505.

It is an arithmetic number, because the mean of its divisors is an integer number (629552).

Almost surely, 2^45776640 is an apocalyptic number.

45776640 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 45776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90655488).

45776640 is an abundant number, since it is smaller than the sum of its proper divisors (135534336).

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

45776640 is a wasteful number, since it uses less digits than its factorization.

45776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 45776640 is about 6765.8436281073. The cubic root of 45776640 is about 357.7239114351.

The spelling of 45776640 in words is "forty-five million, seven hundred seventy-six thousand, six hundred forty".