45624040 has 64 divisors (see below), whose sum is σ = 127992960. Its totient is φ = 14219520.

The previous prime is 45624037. The next prime is 45624041. The reversal of 45624040 is 4042654.

It is a junction number, because it is equal to n+sod(n) for n = 45623996 and 45624014.

It is not an unprimeable number, because it can be changed into a prime (45624041) 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, 4327 + ... + 10486.

It is an arithmetic number, because the mean of its divisors is an integer number (1999890).

Almost surely, 2^45624040 is an apocalyptic number.

45624040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45624040 is an abundant number, since it is smaller than the sum of its proper divisors (82368920).

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

45624040 is a wasteful number, since it uses less digits than its factorization.

45624040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14842 (or 14838 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 45624040 is about 6754.5569802912. The cubic root of 45624040 is about 357.3259687289.

Adding to 45624040 its reverse (4042654), we get a palindrome (49666694).

The spelling of 45624040 in words is "forty-five million, six hundred twenty-four thousand, forty".