45897280 has 224 divisors, whose sum is σ = 138257280. Its totient is φ = 14254080.

The previous prime is 45897251. The next prime is 45897281. The reversal of 45897280 is 8279854.

It is a super-2 number, since 2×45897280² = 4213120622796800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45897281) 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 31 ways as a sum of consecutive naturals, for example, 777891 + ... + 777949.

It is an arithmetic number, because the mean of its divisors is an integer number (617220).

Almost surely, 2^45897280 is an apocalyptic number.

45897280 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 45897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

45897280 is an abundant number, since it is smaller than the sum of its proper divisors (92360000).

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

45897280 is a wasteful number, since it uses less digits than its factorization.

45897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 45897280 is about 6774.7531320337. The cubic root of 45897280 is about 358.0378849455.

The spelling of 45897280 in words is "forty-five million, eight hundred ninety-seven thousand, two hundred eighty".