45804000 has 192 divisors, whose sum is σ = 164166912. Its totient is φ = 11072000.

The previous prime is 45803993. The next prime is 45804007. The reversal of 45804000 is 40854.

It is an interprime number because it is at equal distance from previous prime (45803993) and next prime (45804007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45804007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131827 + ... + 132173.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 2^45804000 is an apocalyptic number.

45804000 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 45804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82083456).

45804000 is an abundant number, since it is smaller than the sum of its proper divisors (118362912).

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

45804000 is a wasteful number, since it uses less digits than its factorization.

45804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45804000 is about 6767.8652468855. The cubic root of 45804000 is about 357.7951659509.

Adding to 45804000 its reverse (40854), we get a palindrome (45844854).

The spelling of 45804000 in words is "forty-five million, eight hundred four thousand".