45835320 has 64 divisors (see below), whose sum is σ = 143493120. Its totient is φ = 11690624.

The previous prime is 45835289. The next prime is 45835327. The reversal of 45835320 is 2353854.

45835320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45835327) 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, 5544 + ... + 11063.

It is an arithmetic number, because the mean of its divisors is an integer number (2242080).

Almost surely, 2^45835320 is an apocalyptic number.

45835320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45835320 is an abundant number, since it is smaller than the sum of its proper divisors (97657800).

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

45835320 is a wasteful number, since it uses less digits than its factorization.

45835320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 45835320 is about 6770.1787273306. The cubic root of 45835320 is about 357.8766987965.

It can be divided in two parts, 458 and 35320, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 45835320 in words is "forty-five million, eight hundred thirty-five thousand, three hundred twenty".