45386880 has 256 divisors, whose sum is σ = 180956160. Its totient is φ = 9400320.

The previous prime is 45386863. The next prime is 45386897. The reversal of 45386880 is 8868354.

It is an interprime number because it is at equal distance from previous prime (45386863) and next prime (45386897).

It is a super-2 number, since 2×45386880² = 4119937752268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147687 + ... + 147993.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 2^45386880 is an apocalyptic number.

45386880 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 45386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

45386880 is an abundant number, since it is smaller than the sum of its proper divisors (135569280).

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

45386880 is a wasteful number, since it uses less digits than its factorization.

45386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 45386880 is about 6736.9785512498. The cubic root of 45386880 is about 356.7057497374.

The spelling of 45386880 in words is "forty-five million, three hundred eighty-six thousand, eight hundred eighty".