958793472 has 432 divisors, whose sum is σ = 3615917760. Its totient is φ = 237109248.

The previous prime is 958793431. The next prime is 958793477. The reversal of 958793472 is 274397859.

958793472 is a `hidden beast` number, since 9 + 5 + 87 + 93 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958793477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3564154 + ... + 3564422.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^958793472 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 958793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807958880).

958793472 is an abundant number, since it is smaller than the sum of its proper divisors (2657124288).

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

958793472 is a wasteful number, since it uses less digits than its factorization.

958793472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 958793472 is about 30964.3903863777. The cubic root of 958793472 is about 986.0713851000.

It can be divided in two parts, 958 and 793472, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 958793472 in words is "nine hundred fifty-eight million, seven hundred ninety-three thousand, four hundred seventy-two".