45761280 has 144 divisors (see below), whose sum is σ = 154967904. Its totient is φ = 11468800.

The previous prime is 45761279. The next prime is 45761281. The reversal of 45761280 is 8216754.

It is an interprime number because it is at equal distance from previous prime (45761279) and next prime (45761281).

It is not an unprimeable number, because it can be changed into a prime (45761281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64930 + ... + 65630.

It is an arithmetic number, because the mean of its divisors is an integer number (1076166).

Almost surely, 2^45761280 is an apocalyptic number.

45761280 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 45761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77483952).

45761280 is an abundant number, since it is smaller than the sum of its proper divisors (109206624).

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

45761280 is a wasteful number, since it uses less digits than its factorization.

45761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45761280 is about 6764.7084194369. The cubic root of 45761280 is about 357.6838964554.

The spelling of 45761280 in words is "forty-five million, seven hundred sixty-one thousand, two hundred eighty".