45403008 has 192 divisors, whose sum is σ = 148838400. Its totient is φ = 12192768.

The previous prime is 45402997. The next prime is 45403013. The reversal of 45403008 is 80030454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×45403008² = 4122866270896128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 357441 + ... + 357567.

It is an arithmetic number, because the mean of its divisors is an integer number (775200).

Almost surely, 2^45403008 is an apocalyptic number.

45403008 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 45403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419200).

45403008 is an abundant number, since it is smaller than the sum of its proper divisors (103435392).

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

45403008 is a wasteful number, since it uses less digits than its factorization.

45403008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45403008 is about 6738.1754206907. The cubic root of 45403008 is about 356.7479959331.

The spelling of 45403008 in words is "forty-five million, four hundred three thousand, eight".