45474720 has 96 divisors (see below), whose sum is σ = 144244800. Its totient is φ = 12042240.

The previous prime is 45474713. The next prime is 45474727. The reversal of 45474720 is 2747454.

45474720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45474713) and next prime (45474727).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45474727) 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, 101056 + ... + 101504.

It is an arithmetic number, because the mean of its divisors is an integer number (1502550).

Almost surely, 2^45474720 is an apocalyptic number.

45474720 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 45474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72122400).

45474720 is an abundant number, since it is smaller than the sum of its proper divisors (98770080).

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

45474720 is a wasteful number, since it uses less digits than its factorization.

45474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 45474720 is about 6743.4946429874. The cubic root of 45474720 is about 356.9357195818.

The spelling of 45474720 in words is "forty-five million, four hundred seventy-four thousand, seven hundred twenty".