45381960 has 96 divisors (see below), whose sum is σ = 158853240. Its totient is φ = 11169792.

The previous prime is 45381953. The next prime is 45381979. The reversal of 45381960 is 6918354.

It can be written as a sum of positive squares in 4 ways, for example, as 18818244 + 26563716 = 4338^2 + 5154^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169 + ... + 9528.

Almost surely, 2^45381960 is an apocalyptic number.

45381960 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 45381960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79426620).

45381960 is an abundant number, since it is smaller than the sum of its proper divisors (113471280).

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

45381960 is a wasteful number, since it uses less digits than its factorization.

45381960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9727 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45381960 is about 6736.6133924992. The cubic root of 45381960 is about 356.6928601409.

The spelling of 45381960 in words is "forty-five million, three hundred eighty-one thousand, nine hundred sixty".