10294400 has 48 divisors (see below), whose sum is σ = 25438290. Its totient is φ = 4116480.

The previous prime is 10294393. The next prime is 10294423. The reversal of 10294400 is 449201.

It can be written as a sum of positive squares in 3 ways, for example, as 9388096 + 906304 = 3064^2 + 952^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1592 + ... + 4808.

Almost surely, 2^10294400 is an apocalyptic number.

10294400 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 10294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719145).

10294400 is an abundant number, since it is smaller than the sum of its proper divisors (15143890).

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

10294400 is an equidigital number, since it uses as much as digits as its factorization.

10294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10294400 is about 3208.4887408249. The cubic root of 10294400 is about 217.5372728653.

The spelling of 10294400 in words is "ten million, two hundred ninety-four thousand, four hundred".