114410400 has 288 divisors, whose sum is σ = 424347840. Its totient is φ = 26542080.

The previous prime is 114410399. The next prime is 114410447. The reversal of 114410400 is 4014411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114410400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592704 + ... + 592896.

It is an arithmetic number, because the mean of its divisors is an integer number (1473430).

Almost surely, 2^114410400 is an apocalyptic number.

114410400 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 114410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212173920).

114410400 is an abundant number, since it is smaller than the sum of its proper divisors (309937440).

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

114410400 is a wasteful number, since it uses less digits than its factorization.

114410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114410400 is about 10696.2797270827. The cubic root of 114410400 is about 485.4619186591.

Adding to 114410400 its reverse (4014411), we get a palindrome (118424811).

It can be divided in two parts, 114 and 410400, that multiplied together give a square (46785600 = 6840²).

The spelling of 114410400 in words is "one hundred fourteen million, four hundred ten thousand, four hundred".