461370 has 64 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 97344.

The previous prime is 461359. The next prime is 461381. The reversal of 461370 is 73164.

It is an interprime number because it is at equal distance from previous prime (461359) and next prime (461381).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461370.

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, 35484 + ... + 35496.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2⁴⁶¹³⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

461370 is an abundant number, since it is smaller than the sum of its proper divisors (909510).

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

461370 is a wasteful number, since it uses less digits than its factorization.

461370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 461370 is about 679.2422248359. The cubic root of 461370 is about 77.2709853859.

The spelling of 461370 in words is "four hundred sixty-one thousand, three hundred seventy".