1002670400 has 84 divisors (see below), whose sum is σ = 2534026428. Its totient is φ = 390205440.

The previous prime is 1002670397. The next prime is 1002670423. The reversal of 1002670400 is 40762001.

It can be written as a sum of positive squares in 6 ways, for example, as 61504 + 1002608896 = 248^2 + 31664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50732 + ... + 67668.

Almost surely, 2^1002670400 is an apocalyptic number.

1002670400 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 1002670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267013214).

1002670400 is an abundant number, since it is smaller than the sum of its proper divisors (1531356028).

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

1002670400 is a wasteful number, since it uses less digits than its factorization.

1002670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16996 (or 16981 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 1002670400 is about 31664.9711826807. The cubic root of 1002670400 is about 1000.8893421694.

The spelling of 1002670400 in words is "one billion, two million, six hundred seventy thousand, four hundred".