45935904 has 96 divisors (see below), whose sum is σ = 145950336. Its totient is φ = 12349440.

The previous prime is 45935891. The next prime is 45935909. The reversal of 45935904 is 40953954.

45935904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×45935904² = 4220214552594432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45935909) 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, 9414 + ... + 13434.

It is an arithmetic number, because the mean of its divisors is an integer number (1520316).

Almost surely, 2^45935904 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 45935904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72975168).

45935904 is an abundant number, since it is smaller than the sum of its proper divisors (100014432).

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

45935904 is a wasteful number, since it uses less digits than its factorization.

45935904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 45935904 is about 6777.6031161466. The cubic root of 45935904 is about 358.1382901543.

It can be divided in two parts, 459 and 35904, that added together give a palindrome (36363).

The spelling of 45935904 in words is "forty-five million, nine hundred thirty-five thousand, nine hundred four".