201649464 has 96 divisors (see below), whose sum is σ = 573281280. Its totient is φ = 63911232.

The previous prime is 201649453. The next prime is 201649493. The reversal of 201649464 is 464946102.

201649464 is a `hidden beast` number, since 2 + 0 + 1 + 649 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435297 + ... + 435759.

It is an arithmetic number, because the mean of its divisors is an integer number (5971680).

Almost surely, 2^201649464 is an apocalyptic number.

201649464 is a gapful number since it is divisible by the number (24) 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 201649464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286640640).

201649464 is an abundant number, since it is smaller than the sum of its proper divisors (371631816).

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

201649464 is a wasteful number, since it uses less digits than its factorization.

201649464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 201649464 is about 14200.3332355266. Note that the first 3 decimals coincide. The cubic root of 201649464 is about 586.4068354099.

The spelling of 201649464 in words is "two hundred one million, six hundred forty-nine thousand, four hundred sixty-four".