1959456 has 24 divisors (see below), whose sum is σ = 5143824. Its totient is φ = 653120.

The previous prime is 1959427. The next prime is 1959457. The reversal of 1959456 is 6549591.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1959457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10110 + ... + 10301.

It is an arithmetic number, because the mean of its divisors is an integer number (214326).

2^1959456 is an apocalyptic number.

1959456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1959456 is an abundant number, since it is smaller than the sum of its proper divisors (3184368).

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

1959456 is a wasteful number, since it uses less digits than its factorization.

1959456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20424 (or 20416 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 1959456 is about 1399.8057008028. The cubic root of 1959456 is about 125.1349156631.

It can be divided in two parts, 1959 and 456, that added together give a triangular number (2415 = T₆₉).

The spelling of 1959456 in words is "one million, nine hundred fifty-nine thousand, four hundred fifty-six".