201482640 has 400 divisors, whose sum is σ = 777807360. Its totient is φ = 48107520.

The previous prime is 201482639. The next prime is 201482641. The reversal of 201482640 is 46284102.

201482640 is a `hidden beast` number, since 2 + 0 + 14 + 8 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (201482639) and next prime (201482641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201482641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3414931 + ... + 3414989.

Almost surely, 2^201482640 is an apocalyptic number.

201482640 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 201482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680).

201482640 is an abundant number, since it is smaller than the sum of its proper divisors (576324720).

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

201482640 is a wasteful number, since it uses less digits than its factorization.

201482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 201482640 is about 14194.4580734877. The cubic root of 201482640 is about 586.2450799199.

The spelling of 201482640 in words is "two hundred one million, four hundred eighty-two thousand, six hundred forty".