45438000 has 80 divisors (see below), whose sum is σ = 146511456. Its totient is φ = 12115200.

The previous prime is 45437999. The next prime is 45438011. The reversal of 45438000 is 83454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45438000² = 4129223688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 2214 + ... + 9786.

Almost surely, 2^45438000 is an apocalyptic number.

45438000 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 45438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73255728).

45438000 is an abundant number, since it is smaller than the sum of its proper divisors (101073456).

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

45438000 is a wasteful number, since it uses less digits than its factorization.

45438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45438000 is about 6740.7714692014. The cubic root of 45438000 is about 356.8396207016.

The spelling of 45438000 in words is "forty-five million, four hundred thirty-eight thousand".