45335808 has 144 divisors (see below), whose sum is σ = 153381760. Its totient is φ = 12939264.

The previous prime is 45335789. The next prime is 45335813. The reversal of 45335808 is 80853354.

45335808 is a `hidden beast` number, since 45 + 33 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47916 + ... + 48852.

Almost surely, 2^45335808 is an apocalyptic number.

45335808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45335808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76690880).

45335808 is an abundant number, since it is smaller than the sum of its proper divisors (108045952).

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

45335808 is an equidigital number, since it uses as much as digits as its factorization.

45335808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45335808 is about 6733.1870611175. The cubic root of 45335808 is about 356.5719040568.

The spelling of 45335808 in words is "forty-five million, three hundred thirty-five thousand, eight hundred eight".