201319456 has 96 divisors (see below), whose sum is σ = 449100288. Its totient is φ = 88197120.

The previous prime is 201319451. The next prime is 201319463. The reversal of 201319456 is 654913102.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 (201319451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863916 + ... + 864148.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128).

Almost surely, 2^201319456 is an apocalyptic number.

201319456 is a gapful number since it is divisible by the number (26) 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 201319456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144).

201319456 is an abundant number, since it is smaller than the sum of its proper divisors (247780832).

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

201319456 is a wasteful number, since it uses less digits than its factorization.

201319456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 201319456 is about 14188.7087502704. The cubic root of 201319456 is about 586.0867674289.

The spelling of 201319456 in words is "two hundred one million, three hundred nineteen thousand, four hundred fifty-six".