1456812 has 96 divisors (see below), whose sum is σ = 4515840. Its totient is φ = 397440.

The previous prime is 1456799. The next prime is 1456823. The reversal of 1456812 is 2186541.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30973 + ... + 31019.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

2^1456812 is an apocalyptic number.

1456812 is a gapful number since it is divisible by the number (12) 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 1456812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257920).

1456812 is an abundant number, since it is smaller than the sum of its proper divisors (3059028).

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

1456812 is a wasteful number, since it uses less digits than its factorization.

1456812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1456812 is about 1206.9846726450. The cubic root of 1456812 is about 113.3620880517.

1456812 divided by its sum of digits (27) gives a triangular number (53956 = T₃₂₈).

The spelling of 1456812 in words is "one million, four hundred fifty-six thousand, eight hundred twelve".