201034400 has 72 divisors (see below), whose sum is σ = 560901600. Its totient is φ = 68924160.

The previous prime is 201034391. The next prime is 201034403. The reversal of 201034400 is 4430102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (201034403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12350 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (7790300).

Almost surely, 2^201034400 is an apocalyptic number.

201034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201034400 is an abundant number, since it is smaller than the sum of its proper divisors (359867200).

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

201034400 is a wasteful number, since it uses less digits than its factorization.

201034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35926 (or 35913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201034400 is about 14178.6600213137. The cubic root of 201034400 is about 585.8100157967.

Adding to 201034400 its reverse (4430102), we get a palindrome (205464502).

The spelling of 201034400 in words is "two hundred one million, thirty-four thousand, four hundred".