45606240 has 336 divisors, whose sum is σ = 178482528. Its totient is φ = 10948608.

The previous prime is 45606229. The next prime is 45606271. The reversal of 45606240 is 4260654.

45606240 = 37³ + 38³ + ... + 116³.

It is a happy number.

45606240 is a `hidden beast` number, since 4 + 560 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982869 + ... + 1982891.

It is an arithmetic number, because the mean of its divisors is an integer number (531198).

Almost surely, 2^45606240 is an apocalyptic number.

45606240 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 45606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89241264).

45606240 is an abundant number, since it is smaller than the sum of its proper divisors (132876288).

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

45606240 is a wasteful number, since it uses less digits than its factorization.

45606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45606240 is about 6753.2392227730. The cubic root of 45606240 is about 357.2794930144.

Adding to 45606240 its reverse (4260654), we get a palindrome (49866894).

The spelling of 45606240 in words is "forty-five million, six hundred six thousand, two hundred forty".