45774720 has 160 divisors (see below), whose sum is σ = 163654920. Its totient is φ = 12192768.

The previous prime is 45774713. The next prime is 45774721. The reversal of 45774720 is 2747754.

It is a happy number.

45774720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

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 (45774721) 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 19 ways as a sum of consecutive naturals, for example, 51399 + ... + 52281.

Almost surely, 2^45774720 is an apocalyptic number.

45774720 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 45774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81827460).

45774720 is an abundant number, since it is smaller than the sum of its proper divisors (117880200).

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

45774720 is an equidigital number, since it uses as much as digits as its factorization.

45774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 45774720 is about 6765.7017374401. The cubic root of 45774720 is about 357.7189100522.

The spelling of 45774720 in words is "forty-five million, seven hundred seventy-four thousand, seven hundred twenty".