45351440 has 40 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 18033536.

The previous prime is 45351437. The next prime is 45351473. The reversal of 45351440 is 4415354.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×45351440² = 4113506220147200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12737 + ... + 15903.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^45351440 is an apocalyptic number.

45351440 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 45351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

45351440 is an abundant number, since it is smaller than the sum of its proper divisors (60713200).

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

45351440 is a wasteful number, since it uses less digits than its factorization.

45351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 45351440 is about 6734.3477783673. The cubic root of 45351440 is about 356.6128819044.

Adding to 45351440 its reverse (4415354), we get a palindrome (49766794).

The spelling of 45351440 in words is "forty-five million, three hundred fifty-one thousand, four hundred forty".