45245040 has 80 divisors (see below), whose sum is σ = 142946208. Its totient is φ = 11834368.

The previous prime is 45245029. The next prime is 45245047. The reversal of 45245040 is 4054254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45245040² = 4094227289203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45245040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45245047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10942 + ... + 14498.

Almost surely, 2^45245040 is an apocalyptic number.

45245040 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 45245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71473104).

45245040 is an abundant number, since it is smaller than the sum of its proper divisors (97701168).

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

45245040 is a wasteful number, since it uses less digits than its factorization.

45245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45245040 is about 6726.4433395369. The cubic root of 45245040 is about 356.3337777729. Note that the first 3 decimals are identical.

Adding to 45245040 its reverse (4054254), we get a palindrome (49299294).

The spelling of 45245040 in words is "forty-five million, two hundred forty-five thousand, forty".