958645464 has 128 divisors (see below), whose sum is σ = 2817884160. Its totient is φ = 266099328.

The previous prime is 958645463. The next prime is 958645481. The reversal of 958645464 is 464546859.

It is a super-2 number, since 2×958645464² = 1838002251295550592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958645463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318269 + ... + 1318995.

It is an arithmetic number, because the mean of its divisors is an integer number (22014720).

Almost surely, 2^958645464 is an apocalyptic number.

958645464 is a gapful number since it is divisible by the number (94) 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 958645464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408942080).

958645464 is an abundant number, since it is smaller than the sum of its proper divisors (1859238696).

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

958645464 is a wasteful number, since it uses less digits than its factorization.

958645464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 958645464 is about 30962.0003229766. Note that the first 3 decimals coincide. The cubic root of 958645464 is about 986.0206428675.

The spelling of 958645464 in words is "nine hundred fifty-eight million, six hundred forty-five thousand, four hundred sixty-four".