45717840 has 240 divisors, whose sum is σ = 180131328. Its totient is φ = 10174464.

The previous prime is 45717827. The next prime is 45717869. The reversal of 45717840 is 4871754.

45717840 is a `hidden beast` number, since 4 + 571 + 7 + 84 + 0 = 666.

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

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 = 45717795 and 45717804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236784 + ... + 236976.

Almost surely, 2^45717840 is an apocalyptic number.

45717840 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 45717840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90065664).

45717840 is an abundant number, since it is smaller than the sum of its proper divisors (134413488).

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

45717840 is a wasteful number, since it uses less digits than its factorization.

45717840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 45717840 is about 6761.4968756925. The cubic root of 45717840 is about 357.5706805985.

The spelling of 45717840 in words is "forty-five million, seven hundred seventeen thousand, eight hundred forty".