45720460 has 48 divisors (see below), whose sum is σ = 102412800. Its totient is φ = 17095104.

The previous prime is 45720439. The next prime is 45720469. The reversal of 45720460 is 6402754.

45720460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45720460² = 4180720925223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45720469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29259 + ... + 30781.

It is an arithmetic number, because the mean of its divisors is an integer number (2133600).

Almost surely, 2^45720460 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 45720460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

45720460 is an abundant number, since it is smaller than the sum of its proper divisors (56692340).

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

45720460 is a wasteful number, since it uses less digits than its factorization.

45720460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45720460 is about 6761.6906169981. The cubic root of 45720460 is about 357.5775110268.

The spelling of 45720460 in words is "forty-five million, seven hundred twenty thousand, four hundred sixty".