110426400 has 324 divisors, whose sum is σ = 454412322. Its totient is φ = 25159680.

The previous prime is 110426377. The next prime is 110426411. The reversal of 110426400 is 4624011.

It can be written as a sum of positive squares in 3 ways, for example, as 44036496 + 66389904 = 6636^2 + 8148^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352644 + ... + 352956.

Almost surely, 2^110426400 is an apocalyptic number.

110426400 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 110426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227206161).

110426400 is an abundant number, since it is smaller than the sum of its proper divisors (343985922).

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

110426400 is a wasteful number, since it uses less digits than its factorization.

110426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 330 counting only the distinct ones).

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

The square root of 110426400 is about 10508.3966426853. The cubic root of 110426400 is about 479.7602969834.

The spelling of 110426400 in words is "one hundred ten million, four hundred twenty-six thousand, four hundred".