1002314400 has 72 divisors (see below), whose sum is σ = 3262541184. Its totient is φ = 267283200.

The previous prime is 1002314387. The next prime is 1002314419. The reversal of 1002314400 is 44132001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002314400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206416 + ... + 211215.

It is an arithmetic number, because the mean of its divisors is an integer number (45313072).

Almost surely, 2^1002314400 is an apocalyptic number.

1002314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002314400 is an abundant number, since it is smaller than the sum of its proper divisors (2260226784).

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

1002314400 is a wasteful number, since it uses less digits than its factorization.

1002314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417654 (or 417641 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002314400 is about 31659.3493300162. The cubic root of 1002314400 is about 1000.7708722699.

Adding to 1002314400 its reverse (44132001), we get a palindrome (1046446401).

The spelling of 1002314400 in words is "one billion, two million, three hundred fourteen thousand, four hundred".