45029376 has 144 divisors (see below), whose sum is σ = 149058000. Its totient is φ = 12828672.

The previous prime is 45029371. The next prime is 45029381. The reversal of 45029376 is 67392054.

It is an interprime number because it is at equal distance from previous prime (45029371) and next prime (45029381).

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 self number, because there is not a number n which added to its sum of digits gives 45029376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45029371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128850 + ... + 129198.

It is an arithmetic number, because the mean of its divisors is an integer number (1035125).

Almost surely, 2^45029376 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 45029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74529000).

45029376 is an abundant number, since it is smaller than the sum of its proper divisors (104028624).

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

45029376 is a wasteful number, since it uses less digits than its factorization.

45029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 45029376 is about 6710.3931330437. The cubic root of 45029376 is about 355.7667116116.

The spelling of 45029376 in words is "forty-five million, twenty-nine thousand, three hundred seventy-six".