201845400 has 96 divisors (see below), whose sum is σ = 628151760. Its totient is φ = 53616640.

The previous prime is 201845393. The next prime is 201845411. The reversal of 201845400 is 4548102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211324 + ... + 212276.

Almost surely, 2^201845400 is an apocalyptic number.

201845400 is a gapful number since it is divisible by the number (20) 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 201845400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314075880).

201845400 is an abundant number, since it is smaller than the sum of its proper divisors (426306360).

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

201845400 is a wasteful number, since it uses less digits than its factorization.

201845400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 201845400 is about 14207.2305534893. The cubic root of 201845400 is about 586.5967045244.

It can be divided in two parts, 20184 and 5400, that multiplied together give a square (108993600 = 10440²).

The spelling of 201845400 in words is "two hundred one million, eight hundred forty-five thousand, four hundred".