461970 has 64 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 116928.

The previous prime is 461957. The next prime is 461971. The reversal of 461970 is 79164.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461971) 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, 7801 + ... + 7859.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2⁴⁶¹⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

461970 is an abundant number, since it is smaller than the sum of its proper divisors (834030).

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

461970 is a wasteful number, since it uses less digits than its factorization.

461970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

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

The square root of 461970 is about 679.6837499897. The cubic root of 461970 is about 77.3044671959.

It can be divided in two parts, 461 and 970, that added together give a triangular number (1431 = T₅₃).

The spelling of 461970 in words is "four hundred sixty-one thousand, nine hundred seventy".