10217480 has 96 divisors (see below), whose sum is σ = 28871640. Its totient is φ = 3225600.

The previous prime is 10217479. The next prime is 10217521. The reversal of 10217480 is 8471201.

It can be written as a sum of positive squares in 4 ways, for example, as 9229444 + 988036 = 3038^2 + 994^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 25280 + ... + 25680.

Almost surely, 2^10217480 is an apocalyptic number.

10217480 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 10217480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435820).

10217480 is an abundant number, since it is smaller than the sum of its proper divisors (18654160).

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

10217480 is a wasteful number, since it uses less digits than its factorization.

10217480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10217480 is about 3196.4793132445. The cubic root of 10217480 is about 216.9941032043.

Adding to 10217480 its reverse (8471201), we get a palindrome (18688681).

The spelling of 10217480 in words is "ten million, two hundred seventeen thousand, four hundred eighty".