1602286400 has 336 divisors, whose sum is σ = 4762195200. Its totient is φ = 522854400.

The previous prime is 1602286393. The next prime is 1602286403. The reversal of 1602286400 is 46822061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1602286403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10753526 + ... + 10753674.

It is an arithmetic number, because the mean of its divisors is an integer number (14173200).

Almost surely, 2^1602286400 is an apocalyptic number.

1602286400 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 1602286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381097600).

1602286400 is an abundant number, since it is smaller than the sum of its proper divisors (3159908800).

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

1602286400 is a wasteful number, since it uses less digits than its factorization.

1602286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1602286400 is about 40028.5697970837. The cubic root of 1602286400 is about 1170.1639529658.

The spelling of 1602286400 in words is "one billion, six hundred two million, two hundred eighty-six thousand, four hundred".