10292480 has 144 divisors (see below), whose sum is σ = 29139264. Its totient is φ = 3440640.

The previous prime is 10292459. The next prime is 10292507. The reversal of 10292480 is 8429201.

10292480 = 216² + 217² + ... + 344².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239339 + ... + 239381.

It is an arithmetic number, because the mean of its divisors is an integer number (202356).

Almost surely, 2^10292480 is an apocalyptic number.

10292480 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 10292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569632).

10292480 is an abundant number, since it is smaller than the sum of its proper divisors (18846784).

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

10292480 is a wasteful number, since it uses less digits than its factorization.

10292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10292480 is about 3208.1895205863. The cubic root of 10292480 is about 217.5237477923.

The spelling of 10292480 in words is "ten million, two hundred ninety-two thousand, four hundred eighty".