45573840 has 200 divisors, whose sum is σ = 170775528. Its totient is φ = 11197440.

The previous prime is 45573839. The next prime is 45573859. The reversal of 45573840 is 4837554.

45573840 is a `hidden beast` number, since 4 + 5 + 573 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 45319824 = 504^2 + 6732^2 .

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 = 45573795 and 45573804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83970 + ... + 84510.

Almost surely, 2^45573840 is an apocalyptic number.

45573840 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 45573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85387764).

45573840 is an abundant number, since it is smaller than the sum of its proper divisors (125201688).

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

45573840 is a wasteful number, since it uses less digits than its factorization.

45573840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 45573840 is about 6750.8399477398. The cubic root of 45573840 is about 357.1948657212.

The spelling of 45573840 in words is "forty-five million, five hundred seventy-three thousand, eight hundred forty".