45033408 has 280 divisors, whose sum is σ = 163750752. Its totient is φ = 11943936.

The previous prime is 45033389. The next prime is 45033413. The reversal of 45033408 is 80433054.

It is a happy number.

45033408 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 (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 616860 + ... + 616932.

Almost surely, 2^45033408 is an apocalyptic number.

45033408 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 45033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81875376).

45033408 is an abundant number, since it is smaller than the sum of its proper divisors (118717344).

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

45033408 is a wasteful number, since it uses less digits than its factorization.

45033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45033408 is about 6710.6935558108. The cubic root of 45033408 is about 355.7773299286. Note that the first 3 decimals are identical.

The spelling of 45033408 in words is "forty-five million, thirty-three thousand, four hundred eight".