45707424 has 96 divisors (see below), whose sum is σ = 145224576. Its totient is φ = 12288000.

The previous prime is 45707419. The next prime is 45707429. The reversal of 45707424 is 42470754.

It is an interprime number because it is at equal distance from previous prime (45707419) and next prime (45707429).

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45707429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9424 + ... + 13424.

It is an arithmetic number, because the mean of its divisors is an integer number (1512756).

Almost surely, 2^45707424 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 45707424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72612288).

45707424 is an abundant number, since it is smaller than the sum of its proper divisors (99517152).

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

45707424 is a wasteful number, since it uses less digits than its factorization.

45707424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4030 counting only the distinct ones).

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

The square root of 45707424 is about 6760.7265881708. The cubic root of 45707424 is about 357.5435231540.

The spelling of 45707424 in words is "forty-five million, seven hundred seven thousand, four hundred twenty-four".