201456640 has 264 divisors, whose sum is σ = 621665712. Its totient is φ = 61931520.

The previous prime is 201456637. The next prime is 201456643. The reversal of 201456640 is 46654102.

It is an interprime number because it is at equal distance from previous prime (201456637) and next prime (201456643).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 201456599 and 201456608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201456643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2759644 + ... + 2759716.

Almost surely, 2^201456640 is an apocalyptic number.

201456640 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 201456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310832856).

201456640 is an abundant number, since it is smaller than the sum of its proper divisors (420209072).

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

201456640 is a wasteful number, since it uses less digits than its factorization.

201456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 201456640 is about 14193.5421935470. The cubic root of 201456640 is about 586.2198618204.

It can be divided in two parts, 2014 and 56640, that multiplied together give a triangular number (114072960 = T₁₅₁₀₄).

The spelling of 201456640 in words is "two hundred one million, four hundred fifty-six thousand, six hundred forty".