12476400 has 120 divisors (see below), whose sum is σ = 41192304. Its totient is φ = 3225600.

The previous prime is 12476381. The next prime is 12476411. The reversal of 12476400 is 467421.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 44260 + ... + 44540.

Almost surely, 2^12476400 is an apocalyptic number.

12476400 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 12476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596152).

12476400 is an abundant number, since it is smaller than the sum of its proper divisors (28715904).

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

12476400 is a wasteful number, since it uses less digits than its factorization.

12476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12476400 is about 3532.1947851159. The cubic root of 12476400 is about 231.9332943380.

The spelling of 12476400 in words is "twelve million, four hundred seventy-six thousand, four hundred".