126410400 has 216 divisors, whose sum is σ = 452838204. Its totient is φ = 33177600.

The previous prime is 126410399. The next prime is 126410413. The reversal of 126410400 is 4014621.

126410400 is a `hidden beast` number, since 1 + 264 + 1 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9511056 + 116899344 = 3084^2 + 10812^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698310 + ... + 698490.

Almost surely, 2^126410400 is an apocalyptic number.

126410400 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 126410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226419102).

126410400 is an abundant number, since it is smaller than the sum of its proper divisors (326427804).

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

126410400 is a wasteful number, since it uses less digits than its factorization.

126410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

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

The square root of 126410400 is about 11243.2379677742. The cubic root of 126410400 is about 501.8735045269.

It can be divided in two parts, 1264 and 10400, that added together give a square (11664 = 108²).

The spelling of 126410400 in words is "one hundred twenty-six million, four hundred ten thousand, four hundred".