1002856400 has 120 divisors (see below), whose sum is σ = 2965476864. Its totient is φ = 317376000.

The previous prime is 1002856357. The next prime is 1002856411. The reversal of 1002856400 is 46582001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1002856400.

It is a congruent number.

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, 22625 + ... + 50175.

Almost surely, 2^1002856400 is an apocalyptic number.

1002856400 is a gapful number since it is divisible by the number (10) 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 1002856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482738432).

1002856400 is an abundant number, since it is smaller than the sum of its proper divisors (1962620464).

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

1002856400 is a wasteful number, since it uses less digits than its factorization.

1002856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27589 (or 27578 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1002856400 is about 31667.9080458435. The cubic root of 1002856400 is about 1000.9512282113.

The spelling of 1002856400 in words is "one billion, two million, eight hundred fifty-six thousand, four hundred".