201752464 has 80 divisors (see below), whose sum is σ = 434543616. Its totient is φ = 90316800.

The previous prime is 201752461. The next prime is 201752479. The reversal of 201752464 is 464257102.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (201752461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598504 + ... + 598840.

Almost surely, 2^201752464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201752464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217271808).

201752464 is an abundant number, since it is smaller than the sum of its proper divisors (232791152).

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

201752464 is a wasteful number, since it uses less digits than its factorization.

201752464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 201752464 is about 14203.9594479849. The cubic root of 201752464 is about 586.5066614842.

The spelling of 201752464 in words is "two hundred one million, seven hundred fifty-two thousand, four hundred sixty-four".