45912240 has 360 divisors, whose sum is σ = 185238144. Its totient is φ = 10137600.

The previous prime is 45912233. The next prime is 45912241. The reversal of 45912240 is 4221954.

45912240 = T₃₃₉ + T₃₄₀ + ... + T₆₇₉.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (45912241) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1481025 + ... + 1481055.

Almost surely, 2^45912240 is an apocalyptic number.

45912240 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 45912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

45912240 is an abundant number, since it is smaller than the sum of its proper divisors (139325904).

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

45912240 is a wasteful number, since it uses less digits than its factorization.

45912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45912240 is about 6775.8571413512. The cubic root of 45912240 is about 358.0767809681.

The spelling of 45912240 in words is "forty-five million, nine hundred twelve thousand, two hundred forty".