201461040 has 320 divisors, whose sum is σ = 774950400. Its totient is φ = 47692800.

The previous prime is 201461021. The next prime is 201461053. The reversal of 201461040 is 40164102.

201461040 is a `hidden beast` number, since 2 + 0 + 14 + 610 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1449291 + ... + 1449429.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2^201461040 is an apocalyptic number.

201461040 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 201461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

201461040 is an abundant number, since it is smaller than the sum of its proper divisors (573489360).

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

201461040 is a wasteful number, since it uses less digits than its factorization.

201461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201461040 is about 14193.6971927683. The cubic root of 201461040 is about 586.2241296513.

The spelling of 201461040 in words is "two hundred one million, four hundred sixty-one thousand, forty".