10480480 has 48 divisors (see below), whose sum is σ = 25570944. Its totient is φ = 4055040.

The previous prime is 10480469. The next prime is 10480499. The reversal of 10480480 is 8408401.

It is a super-2 number, since 2×10480480² = 219680922060800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3904 + ... + 6016.

It is an arithmetic number, because the mean of its divisors is an integer number (532728).

Almost surely, 2^10480480 is an apocalyptic number.

10480480 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 10480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785472).

10480480 is an abundant number, since it is smaller than the sum of its proper divisors (15090464).

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

10480480 is a wasteful number, since it uses less digits than its factorization.

10480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 10480480 is about 3237.3569466464. The cubic root of 10480480 is about 218.8401772421.

Adding to 10480480 its reverse (8408401), we get a palindrome (18888881).

The spelling of 10480480 in words is "ten million, four hundred eighty thousand, four hundred eighty".