201062400 has 576 divisors, whose sum is σ = 877443840. Its totient is φ = 39321600.

The previous prime is 201062387. The next prime is 201062413. The reversal of 201062400 is 4260102.

It is an interprime number because it is at equal distance from previous prime (201062387) and next prime (201062413).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201062400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11827192 + ... + 11827208.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^201062400 is an apocalyptic number.

201062400 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 201062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

201062400 is an abundant number, since it is smaller than the sum of its proper divisors (676381440).

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

201062400 is a wasteful number, since it uses less digits than its factorization.

201062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 201062400 is about 14179.6473863069. The cubic root of 201062400 is about 585.8372116713.

The spelling of 201062400 in words is "two hundred one million, sixty-two thousand, four hundred".