45401440 has 72 divisors (see below), whose sum is σ = 124794432. Its totient is φ = 15563520.

The previous prime is 45401423. The next prime is 45401459. The reversal of 45401440 is 4410454.

It is a super-2 number, since 2×45401440² = 4122581508147200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4945 + ... + 10735.

It is an arithmetic number, because the mean of its divisors is an integer number (1733256).

Almost surely, 2^45401440 is an apocalyptic number.

45401440 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 45401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62397216).

45401440 is an abundant number, since it is smaller than the sum of its proper divisors (79392992).

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

45401440 is a wasteful number, since it uses less digits than its factorization.

45401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 45401440 is about 6738.0590677138. The cubic root of 45401440 is about 356.7438891031.

Adding to 45401440 its reverse (4410454), we get a palindrome (49811894).

The spelling of 45401440 in words is "forty-five million, four hundred one thousand, four hundred forty".