1602050400 has 504 divisors, whose sum is σ = 6096500424. Its totient is φ = 410572800.

The previous prime is 1602050377. The next prime is 1602050419. The reversal of 1602050400 is 40502061.

It is a happy number.

1602050400 is a `hidden beast` number, since 1 + 60 + 205 + 0 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 23911167 + ... + 23911233.

It is an arithmetic number, because the mean of its divisors is an integer number (12096231).

Almost surely, 2^1602050400 is an apocalyptic number.

1602050400 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 1602050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048250212).

1602050400 is an abundant number, since it is smaller than the sum of its proper divisors (4494450024).

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

1602050400 is an equidigital number, since it uses as much as digits as its factorization.

1602050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

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

The square root of 1602050400 is about 40025.6217940459. The cubic root of 1602050400 is about 1170.1064991814.

Adding to 1602050400 its reverse (40502061), we get a palindrome (1642552461).

The spelling of 1602050400 in words is "one billion, six hundred two million, fifty thousand, four hundred".