958416 has 40 divisors (see below), whose sum is σ = 2541504. Its totient is φ = 311040.

The previous prime is 958393. The next prime is 958423. The reversal of 958416 is 614859.

It is a super-2 number, since 2×958416² = 1837122458112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1725 + ... + 2211.

2⁹⁵⁸⁴¹⁶ 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 958416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270752).

958416 is an abundant number, since it is smaller than the sum of its proper divisors (1583088).

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

958416 is a wasteful number, since it uses less digits than its factorization.

958416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 958416 is about 978.9872317860. The cubic root of 958416 is about 98.5941964390.

The spelling of 958416 in words is "nine hundred fifty-eight thousand, four hundred sixteen".