45813579 has 48 divisors (see below), whose sum is σ = 76608000. Its totient is φ = 24204096.

The previous prime is 45813577. The next prime is 45813583. The reversal of 45813579 is 97531854.

It is not a de Polignac number, because 45813579 - 2¹ = 45813577 is a prime.

Its product of digits (151200) is a multiple of the sum of its prime factors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 45813579.

It is not an unprimeable number, because it can be changed into a prime (45813577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131097 + ... + 131445.

It is an arithmetic number, because the mean of its divisors is an integer number (1596000).

Almost surely, 2^45813579 is an apocalyptic number.

45813579 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45813579 is a deficient number, since it is larger than the sum of its proper divisors (30794421).

45813579 is a wasteful number, since it uses less digits than its factorization.

45813579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 45813579 is about 6768.5728924198. The cubic root of 45813579 is about 357.8201061381.

The spelling of 45813579 in words is "forty-five million, eight hundred thirteen thousand, five hundred seventy-nine".