1456356 has 72 divisors (see below), whose sum is σ = 4021920. Its totient is φ = 408320.

The previous prime is 1456333. The next prime is 1456381. The reversal of 1456356 is 6536541.

1456356 = 44² + 45² + ... + 164².

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24655 + ... + 24713.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

2^1456356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010960).

1456356 is an abundant number, since it is smaller than the sum of its proper divisors (2565564).

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

1456356 is a wasteful number, since it uses less digits than its factorization.

1456356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 1456356 is about 1206.7957573674. The cubic root of 1456356 is about 113.3502589101.

The spelling of 1456356 in words is "one million, four hundred fifty-six thousand, three hundred fifty-six".