45234000 has 240 divisors, whose sum is σ = 181059840. Its totient is φ = 10310400.

The previous prime is 45233999. The next prime is 45234023. The reversal of 45234000 is 43254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45234000² = 4092229512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125821 + ... + 126179.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^45234000 is an apocalyptic number.

45234000 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 45234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

45234000 is an abundant number, since it is smaller than the sum of its proper divisors (135825840).

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

45234000 is a wasteful number, since it uses less digits than its factorization.

45234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45234000 is about 6725.6226477554. The cubic root of 45234000 is about 356.3047930495.

Adding to 45234000 its reverse (43254), we get a palindrome (45277254).

The spelling of 45234000 in words is "forty-five million, two hundred thirty-four thousand".