1002416900 has 72 divisors (see below), whose sum is σ = 2382738120. Its totient is φ = 364349440.

The previous prime is 1002416869. The next prime is 1002416923. The reversal of 1002416900 is 96142001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5373124 + 997043776 = 2318^2 + 31576^2 .

It is a super-2 number, since 2×1002416900² = 2009679282811220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39134 + ... + 59466.

It is an arithmetic number, because the mean of its divisors is an integer number (33093585).

Almost surely, 2^1002416900 is an apocalyptic number.

1002416900 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 1002416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191369060).

1002416900 is an abundant number, since it is smaller than the sum of its proper divisors (1380321220).

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

1002416900 is a wasteful number, since it uses less digits than its factorization.

1002416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20393 (or 20386 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1002416900 is about 31660.9680837463. The cubic root of 1002416900 is about 1000.8049851584.

Adding to 1002416900 its reverse (96142001), we get a palindrome (1098558901).

The spelling of 1002416900 in words is "one billion, two million, four hundred sixteen thousand, nine hundred".