201542400 has 162 divisors, whose sum is σ = 720765500. Its totient is φ = 53729280.

The previous prime is 201542357. The next prime is 201542401. The reversal of 201542400 is 4245102.

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

It is not an unprimeable number, because it can be changed into a prime (201542401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55851 + ... + 59349.

Almost surely, 2^201542400 is an apocalyptic number.

201542400 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 201542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360382750).

201542400 is an abundant number, since it is smaller than the sum of its proper divisors (519223100).

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

201542400 is a wasteful number, since it uses less digits than its factorization.

201542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 201542400 is about 14196.5629643234. The cubic root of 201542400 is about 586.3030345288.

Adding to 201542400 its reverse (4245102), we get a palindrome (205787502).

The spelling of 201542400 in words is "two hundred one million, five hundred forty-two thousand, four hundred".