45335840 has 48 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 16485120.

The previous prime is 45335827. The next prime is 45335863. The reversal of 45335840 is 4853354.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 45335797 and 45335806.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11120 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^45335840 is an apocalyptic number.

45335840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45335840 is an abundant number, since it is smaller than the sum of its proper divisors (71511520).

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

45335840 is a wasteful number, since it uses less digits than its factorization.

45335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25785 (or 25777 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 45335840 is about 6733.1894374063. The cubic root of 45335840 is about 356.5719879515.

The spelling of 45335840 in words is "forty-five million, three hundred thirty-five thousand, eight hundred forty".