45854200 has 72 divisors (see below), whose sum is σ = 124043400. Its totient is φ = 15718080.

The previous prime is 45854141. The next prime is 45854233. The reversal of 45854200 is 245854.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7461 + ... + 12139.

It is an arithmetic number, because the mean of its divisors is an integer number (1722825).

Almost surely, 2^45854200 is an apocalyptic number.

45854200 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 45854200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62021700).

45854200 is an abundant number, since it is smaller than the sum of its proper divisors (78189200).

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

45854200 is a wasteful number, since it uses less digits than its factorization.

45854200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 45854200 is about 6771.5729339645. The cubic root of 45854200 is about 357.9258296455.

The spelling of 45854200 in words is "forty-five million, eight hundred fifty-four thousand, two hundred".