201506400 has 288 divisors, whose sum is σ = 768700800. Its totient is φ = 50803200.

The previous prime is 201506377. The next prime is 201506401. The reversal of 201506400 is 4605102.

It is a happy number.

201506400 is a `hidden beast` number, since 20 + 1 + 5 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201506401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410155 + ... + 410645.

It is an arithmetic number, because the mean of its divisors is an integer number (2669100).

Almost surely, 2^201506400 is an apocalyptic number.

201506400 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 201506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384350400).

201506400 is an abundant number, since it is smaller than the sum of its proper divisors (567194400).

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

201506400 is a wasteful number, since it uses less digits than its factorization.

201506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201506400 is about 14195.2949951736. The cubic root of 201506400 is about 586.2681234860.

The spelling of 201506400 in words is "two hundred one million, five hundred six thousand, four hundred".