45778940 has 48 divisors (see below), whose sum is σ = 101412864. Its totient is φ = 17332800.

The previous prime is 45778939. The next prime is 45778949. The reversal of 45778940 is 4987754.

It is a super-2 number, since 2×45778940² = 4191422695047200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45778891 and 45778900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45778949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28355 + ... + 29925.

It is an arithmetic number, because the mean of its divisors is an integer number (2112768).

Almost surely, 2^45778940 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 45778940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50706432).

45778940 is an abundant number, since it is smaller than the sum of its proper divisors (55633924).

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

45778940 is a wasteful number, since it uses less digits than its factorization.

45778940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 45778940 is about 6766.0135973851. The cubic root of 45778940 is about 357.7299024909.

It can be divided in two parts, 457 and 78940, that added together give a palindrome (79397).

The spelling of 45778940 in words is "forty-five million, seven hundred seventy-eight thousand, nine hundred forty".