10466400 has 216 divisors, whose sum is σ = 40075560. Its totient is φ = 2365440.

The previous prime is 10466381. The next prime is 10466411. The reversal of 10466400 is 466401.

10466400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117556 + ... + 117644.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 2^10466400 is an apocalyptic number.

10466400 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 10466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037780).

10466400 is an abundant number, since it is smaller than the sum of its proper divisors (29609160).

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

10466400 is a wasteful number, since it uses less digits than its factorization.

10466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10466400 is about 3235.1816023216. The cubic root of 10466400 is about 218.7421330504.

Subtracting from 10466400 its reverse (466401), we obtain a palindrome (9999999).

The spelling of 10466400 in words is "ten million, four hundred sixty-six thousand, four hundred".