1026546400 has 288 divisors, whose sum is σ = 2915813376. Its totient is φ = 349440000.

The previous prime is 1026546371. The next prime is 1026546403. The reversal of 1026546400 is 46456201.

It is a super-2 number, since 2×1026546400² = 2107595022705920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026546403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14458365 + ... + 14458435.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2^1026546400 is an apocalyptic number.

1026546400 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 1026546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457906688).

1026546400 is an abundant number, since it is smaller than the sum of its proper divisors (1889266976).

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

1026546400 is a wasteful number, since it uses less digits than its factorization.

1026546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1026546400 is about 32039.7627956263. The cubic root of 1026546400 is about 1008.7716334784.

It can be divided in two parts, 10265 and 46400, that added together give a palindrome (56665).

The spelling of 1026546400 in words is "one billion, twenty-six million, five hundred forty-six thousand, four hundred".