1461456 has 80 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 456192.

The previous prime is 1461451. The next prime is 1461479. The reversal of 1461456 is 6541641.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7245 + ... + 7443.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2^1461456 is an apocalyptic number.

1461456 is a gapful number since it is divisible by the number (16) 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 1461456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

1461456 is an abundant number, since it is smaller than the sum of its proper divisors (3002544).

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

1461456 is a wasteful number, since it uses less digits than its factorization.

1461456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1461456 is about 1208.9069443096. The cubic root of 1461456 is about 113.4824181788.

The spelling of 1461456 in words is "one million, four hundred sixty-one thousand, four hundred fifty-six".