45034080 has 192 divisors, whose sum is σ = 174763008. Its totient is φ = 9492480.

The previous prime is 45034079. The next prime is 45034081. The reversal of 45034080 is 8043054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45034079) and next prime (45034081).

It is a super-2 number, since 2×45034080² = 4056136722892800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45034080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45034081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43165 + ... + 44195.

It is an arithmetic number, because the mean of its divisors is an integer number (910224).

Almost surely, 2^45034080 is an apocalyptic number.

45034080 is a gapful number since it is divisible by the number (40) 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 45034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87381504).

45034080 is an abundant number, since it is smaller than the sum of its proper divisors (129728928).

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

45034080 is a wasteful number, since it uses less digits than its factorization.

45034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

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

The square root of 45034080 is about 6710.7436249644. The cubic root of 45034080 is about 355.7790995865.

The spelling of 45034080 in words is "forty-five million, thirty-four thousand, eighty".