45646720 has 128 divisors (see below), whose sum is σ = 130429440. Its totient is φ = 14936064.

The previous prime is 45646709. The next prime is 45646723. The reversal of 45646720 is 2764654.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45646723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102819 + ... + 103261.

It is an arithmetic number, because the mean of its divisors is an integer number (1018980).

Almost surely, 2^45646720 is an apocalyptic number.

45646720 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 45646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65214720).

45646720 is an abundant number, since it is smaller than the sum of its proper divisors (84782720).

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

45646720 is a wasteful number, since it uses less digits than its factorization.

45646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 45646720 is about 6756.2356382826. The cubic root of 45646720 is about 357.3851685898.

The spelling of 45646720 in words is "forty-five million, six hundred forty-six thousand, seven hundred twenty".