45071280 has 120 divisors (see below), whose sum is σ = 154074960. Its totient is φ = 11804160.

The previous prime is 45071239. The next prime is 45071281. The reversal of 45071280 is 8217054.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (45071281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41950 + ... + 43010.

It is an arithmetic number, because the mean of its divisors is an integer number (1283958).

Almost surely, 2^45071280 is an apocalyptic number.

45071280 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 45071280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77037480).

45071280 is an abundant number, since it is smaller than the sum of its proper divisors (109003680).

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

45071280 is a wasteful number, since it uses less digits than its factorization.

45071280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 45071280 is about 6713.5147277711. The cubic root of 45071280 is about 355.8770353422.

The spelling of 45071280 in words is "forty-five million, seventy-one thousand, two hundred eighty".