45314500 has 144 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 13992000.

The previous prime is 45314491. The next prime is 45314513. The reversal of 45314500 is 541354.

45314500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423447 + ... + 423553.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^45314500 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 45314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

45314500 is an abundant number, since it is smaller than the sum of its proper divisors (80169404).

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

45314500 is a wasteful number, since it uses less digits than its factorization.

45314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 45314500 is about 6731.6045635495. The cubic root of 45314500 is about 356.5160319246.

Adding to 45314500 its reverse (541354), we get a palindrome (45855854).

It can be divided in two parts, 453 and 14500, that multiplied together give a triangular number (6568500 = T₃₆₂₄).

The spelling of 45314500 in words is "forty-five million, three hundred fourteen thousand, five hundred".