201434400 has 216 divisors, whose sum is σ = 719930484. Its totient is φ = 52992000.

The previous prime is 201434381. The next prime is 201434413. The reversal of 201434400 is 4434102.

It can be written as a sum of positive squares in 6 ways, for example, as 95179536 + 106254864 = 9756^2 + 10308^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727062 + ... + 727338.

Almost surely, 2^201434400 is an apocalyptic number.

201434400 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 201434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359965242).

201434400 is an abundant number, since it is smaller than the sum of its proper divisors (518496084).

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

201434400 is a wasteful number, since it uses less digits than its factorization.

201434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 201434400 is about 14192.7587170360. The cubic root of 201434400 is about 586.1982889242.

Adding to 201434400 its reverse (4434102), we get a palindrome (205868502).

The spelling of 201434400 in words is "two hundred one million, four hundred thirty-four thousand, four hundred".