14861400 has 192 divisors, whose sum is σ = 51425280. Its totient is φ = 3532800.

The previous prime is 14861377. The next prime is 14861411. The reversal of 14861400 is 416841.

It is a super-2 number, since 2×14861400² = 441722419920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 316177 + ... + 316223.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^14861400 is an apocalyptic number.

14861400 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 14861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

14861400 is an abundant number, since it is smaller than the sum of its proper divisors (36563880).

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

14861400 is a wasteful number, since it uses less digits than its factorization.

14861400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14861400 is about 3855.0486378255. The cubic root of 14861400 is about 245.8592624826.

The spelling of 14861400 in words is "fourteen million, eight hundred sixty-one thousand, four hundred".