45858000 has 80 divisors (see below), whose sum is σ = 147865536. Its totient is φ = 12227200.

The previous prime is 45857989. The next prime is 45858013. The reversal of 45858000 is 85854.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179 + ... + 9821.

Almost surely, 2^45858000 is an apocalyptic number.

45858000 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 45858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73932768).

45858000 is an abundant number, since it is smaller than the sum of its proper divisors (102007536).

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

45858000 is a wasteful number, since it uses less digits than its factorization.

45858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 45858000 is about 6771.8535128870. The cubic root of 45858000 is about 357.9357166394.

The spelling of 45858000 in words is "forty-five million, eight hundred fifty-eight thousand".