1202882400 has 360 divisors, whose sum is σ = 4622282280. Its totient is φ = 303575040.

The previous prime is 1202882357. The next prime is 1202882407. The reversal of 1202882400 is 42882021.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202882407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1230712 + ... + 1231688.

It is an arithmetic number, because the mean of its divisors is an integer number (12839673).

Almost surely, 2^1202882400 is an apocalyptic number.

1202882400 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 1202882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311141140).

1202882400 is an abundant number, since it is smaller than the sum of its proper divisors (3419399880).

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

1202882400 is a wasteful number, since it uses less digits than its factorization.

1202882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1202882400 is about 34682.5950586169. The cubic root of 1202882400 is about 1063.5087241492.

The spelling of 1202882400 in words is "one billion, two hundred two million, eight hundred eighty-two thousand, four hundred".