45826000 has 80 divisors (see below), whose sum is σ = 120938688. Its totient is φ = 16656000.

The previous prime is 45825979. The next prime is 45826007. The reversal of 45826000 is 62854.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45826007) 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, 20959 + ... + 23041.

Almost surely, 2^45826000 is an apocalyptic number.

45826000 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 45826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60469344).

45826000 is an abundant number, since it is smaller than the sum of its proper divisors (75112688).

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

45826000 is a wasteful number, since it uses less digits than its factorization.

45826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 45826000 is about 6769.4903796372. The cubic root of 45826000 is about 357.8524406703.

Adding to 45826000 its reverse (62854), we get a palindrome (45888854).

The spelling of 45826000 in words is "forty-five million, eight hundred twenty-six thousand".