1002456 has 160 divisors (see below), whose sum is σ = 3659040. Its totient is φ = 248832.

The previous prime is 1002451. The next prime is 1002457. The reversal of 1002456 is 6542001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58960 + ... + 58976.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2^1002456 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 1002456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829520).

1002456 is an abundant number, since it is smaller than the sum of its proper divisors (2656584).

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

1002456 is a wasteful number, since it uses less digits than its factorization.

1002456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1002456 is about 1001.2272469325. The cubic root of 1002456 is about 100.0817997365.

Adding to 1002456 its reverse (6542001), we get a palindrome (7544457).

It can be divided in two parts, 100 and 2456, that added together give a triangular number (2556 = T₇₁).

The spelling of 1002456 in words is "one million, two thousand, four hundred fifty-six".