5461456 has 120 divisors (see below), whose sum is σ = 14776832. Its totient is φ = 1900800.

The previous prime is 5461451. The next prime is 5461457. The reversal of 5461456 is 6541645.

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (14400) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176161 + ... + 176191.

Almost surely, 2^5461456 is an apocalyptic number.

5461456 is a gapful number since it is divisible by the number (56) 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 5461456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388416).

5461456 is an abundant number, since it is smaller than the sum of its proper divisors (9315376).

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

5461456 is a wasteful number, since it uses less digits than its factorization.

5461456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 5461456 is about 2336.9758235806. The cubic root of 5461456 is about 176.1041050757.

It can be divided in two parts, 546 and 1456, that added together give a palindrome (2002).

The spelling of 5461456 in words is "five million, four hundred sixty-one thousand, four hundred fifty-six".