1026950400 has 540 divisors, whose sum is σ = 4354880992. Its totient is φ = 233902080.

The previous prime is 1026950389. The next prime is 1026950413. The reversal of 1026950400 is 40596201.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628659 + ... + 3628941.

Almost surely, 2^1026950400 is an apocalyptic number.

1026950400 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 1026950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177440496).

1026950400 is an abundant number, since it is smaller than the sum of its proper divisors (3327930592).

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

1026950400 is an equidigital number, since it uses as much as digits as its factorization.

1026950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1026950400 is about 32046.0668413458. The cubic root of 1026950400 is about 1008.9039510201.

The spelling of 1026950400 in words is "one billion, twenty-six million, nine hundred fifty thousand, four hundred".