971460 has 96 divisors (see below), whose sum is σ = 3467520. Its totient is φ = 221184.

The previous prime is 971441. The next prime is 971473. The reversal of 971460 is 64179.

971460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3652 + ... + 3908.

It is an arithmetic number, because the mean of its divisors is an integer number (36120).

2⁹⁷¹⁴⁶⁰ is an apocalyptic number.

971460 is a gapful number since it is divisible by the number (90) 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 971460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733760).

971460 is an abundant number, since it is smaller than the sum of its proper divisors (2496060).

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

971460 is a wasteful number, since it uses less digits than its factorization.

971460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 971460 is about 985.6267041837. The cubic root of 971460 is about 99.0394700285.

It can be divided in two parts, 971 and 460, that added together give a triangular number (1431 = T₅₃).

The spelling of 971460 in words is "nine hundred seventy-one thousand, four hundred sixty".