201074400 has 360 divisors, whose sum is σ = 765654120. Its totient is φ = 51287040.

The previous prime is 201074399. The next prime is 201074411. The reversal of 201074400 is 4470102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1879147 + ... + 1879253.

It is an arithmetic number, because the mean of its divisors is an integer number (2126817).

Almost surely, 2^201074400 is an apocalyptic number.

201074400 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 201074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382827060).

201074400 is an abundant number, since it is smaller than the sum of its proper divisors (564579720).

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

201074400 is a wasteful number, since it uses less digits than its factorization.

201074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 201074400 is about 14180.0705216864. The cubic root of 201074400 is about 585.8488662732.

The spelling of 201074400 in words is "two hundred one million, seventy-four thousand, four hundred".