1021046400 has 432 divisors, whose sum is σ = 4018317030. Its totient is φ = 246681600.

The previous prime is 1021046399. The next prime is 1021046423. The reversal of 1021046400 is 46401201.

1021046400 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 954068544 + 66977856 = 30888^2 + 8184^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3484654 + ... + 3484946.

Almost surely, 2^1021046400 is an apocalyptic number.

1021046400 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 1021046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009158515).

1021046400 is an abundant number, since it is smaller than the sum of its proper divisors (2997270630).

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

1021046400 is a wasteful number, since it uses less digits than its factorization.

1021046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1021046400 is about 31953.8166734429. The cubic root of 1021046400 is about 1006.9668174068.

Adding to 1021046400 its reverse (46401201), we get a palindrome (1067447601).

The spelling of 1021046400 in words is "one billion, twenty-one million, forty-six thousand, four hundred".