45468540 has 240 divisors, whose sum is σ = 163924992. Its totient is φ = 10450944.

The previous prime is 45468517. The next prime is 45468569. The reversal of 45468540 is 4586454.

45468540 is a `hidden beast` number, since 4 + 54 + 68 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45468495 and 45468504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357957 + ... + 358083.

Almost surely, 2^45468540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45468540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81962496).

45468540 is an abundant number, since it is smaller than the sum of its proper divisors (118456452).

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

45468540 is a wasteful number, since it uses less digits than its factorization.

45468540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45468540 is about 6743.0364080287. The cubic root of 45468540 is about 356.9195496989.

The spelling of 45468540 in words is "forty-five million, four hundred sixty-eight thousand, five hundred forty".