45941760 has 132 divisors (see below), whose sum is σ = 159346668. Its totient is φ = 12238848.

The previous prime is 45941719. The next prime is 45941767. The reversal of 45941760 is 6714954.

45941760 is a `hidden beast` number, since 4 + 594 + 1 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 17040384 = 5376^2 + 4128^2 .

It is a super-2 number, since 2×45941760² = 4221290623795200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45941767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45582 + ... + 46578.

Almost surely, 2^45941760 is an apocalyptic number.

45941760 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 45941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79673334).

45941760 is an abundant number, since it is smaller than the sum of its proper divisors (113404908).

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

45941760 is a wasteful number, since it uses less digits than its factorization.

45941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1007 counting only the distinct ones).

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

The square root of 45941760 is about 6778.0351135119. The cubic root of 45941760 is about 358.1535082338.

The spelling of 45941760 in words is "forty-five million, nine hundred forty-one thousand, seven hundred sixty".