201070464 has 256 divisors, whose sum is σ = 668467200. Its totient is φ = 52254720.

The previous prime is 201070453. The next prime is 201070481. The reversal of 201070464 is 464070102.

201070464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201070464³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583169 + ... + 1583295.

It is an arithmetic number, because the mean of its divisors is an integer number (2611200).

Almost surely, 2^201070464 is an apocalyptic number.

201070464 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 201070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334233600).

201070464 is an abundant number, since it is smaller than the sum of its proper divisors (467396736).

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

201070464 is a wasteful number, since it uses less digits than its factorization.

201070464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 201070464 is about 14179.9317346735. The cubic root of 201070464 is about 585.8450436149.

The spelling of 201070464 in words is "two hundred one million, seventy thousand, four hundred sixty-four".