45430 has 32 divisors (see below), whose sum is σ = 103680. Its totient is φ = 13920.

The previous prime is 45427. The next prime is 45433. The reversal of 45430 is 3454.

45430 = T₅₅ + T₅₆ + ... + T₇₅.

It is an interprime number because it is at equal distance from previous prime (45427) and next prime (45433).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45433) 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, 741 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2⁴⁵⁴³⁰ is an apocalyptic number.

45430 is an abundant number, since it is smaller than the sum of its proper divisors (58250).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

45430 is a wasteful number, since it uses less digits than its factorization.

45430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 45430 is about 213.1431443889. The cubic root of 45430 is about 35.6818677258.

Adding to 45430 its reverse (3454), we get a palindrome (48884).

It can be divided in two parts, 454 and 30, that added together give a palindrome (484).

The spelling of 45430 in words is "forty-five thousand, four hundred thirty".