461040 has 80 divisors (see below), whose sum is σ = 1526688. Its totient is φ = 114688.

The previous prime is 461017. The next prime is 461051. The reversal of 461040 is 40164.

It is a Cunningham number, because it is equal to 679²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4024 + ... + 4136.

2⁴⁶¹⁰⁴⁰ is an apocalyptic number.

461040 is a gapful number since it is divisible by the number (40) 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 461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344).

461040 is an abundant number, since it is smaller than the sum of its proper divisors (1065648).

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

461040 is a wasteful number, since it uses less digits than its factorization.

461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 461040 is about 678.9992636226. Note that the first 3 decimals coincide. The cubic root of 461040 is about 77.2525580159.

The spelling of 461040 in words is "four hundred sixty-one thousand, forty".