45611280 has 240 divisors, whose sum is σ = 180363456. Its totient is φ = 10183680.

The previous prime is 45611263. The next prime is 45611281. The reversal of 45611280 is 8211654.

45611280 is a `hidden beast` number, since 45 + 611 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45611281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102739 + ... + 103181.

Almost surely, 2^45611280 is an apocalyptic number.

45611280 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 45611280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90181728).

45611280 is an abundant number, since it is smaller than the sum of its proper divisors (134752176).

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

45611280 is a wasteful number, since it uses less digits than its factorization.

45611280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45611280 is about 6753.6123667264. The cubic root of 45611280 is about 357.2926536573.

The spelling of 45611280 in words is "forty-five million, six hundred eleven thousand, two hundred eighty".