45194760 has 320 divisors, whose sum is σ = 173804400. Its totient is φ = 10450944.

The previous prime is 45194729. The next prime is 45194801. The reversal of 45194760 is 6749154.

It can be written as a sum of positive squares in 8 ways, for example, as 21399876 + 23794884 = 4626^2 + 4878^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1221462 + ... + 1221498.

Almost surely, 2^45194760 is an apocalyptic number.

45194760 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 45194760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86902200).

45194760 is an abundant number, since it is smaller than the sum of its proper divisors (128609640).

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

45194760 is a wasteful number, since it uses less digits than its factorization.

45194760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45194760 is about 6722.7048127967. The cubic root of 45194760 is about 356.2017330730.

It can be divided in two parts, 45194 and 760, that added together give a palindrome (45954).

The spelling of 45194760 in words is "forty-five million, one hundred ninety-four thousand, seven hundred sixty".