45232000 has 128 divisors (see below), whose sum is σ = 123158880. Its totient is φ = 16384000.

The previous prime is 45231997. The next prime is 45232009. The reversal of 45232000 is 23254.

45232000 = 143² + 144² + ... + 517².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

45232000 is a Rhonda number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45232009) 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, 175872 + ... + 176128.

Almost surely, 2^45232000 is an apocalyptic number.

45232000 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 45232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61579440).

45232000 is an abundant number, since it is smaller than the sum of its proper divisors (77926880).

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

45232000 is a wasteful number, since it uses less digits than its factorization.

45232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

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

The square root of 45232000 is about 6725.4739609934. The cubic root of 45232000 is about 356.2995416892.

Adding to 45232000 its reverse (23254), we get a palindrome (45255254).

The spelling of 45232000 in words is "forty-five million, two hundred thirty-two thousand".