13417488 has 240 divisors, whose sum is σ = 48746880. Its totient is φ = 3483648.

The previous prime is 13417483. The next prime is 13417493. The reversal of 13417488 is 88471431.

It is an interprime number because it is at equal distance from previous prime (13417483) and next prime (13417493).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (13417483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462658 + ... + 462686.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^13417488 is an apocalyptic number.

13417488 is a gapful number since it is divisible by the number (18) 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 13417488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13417488 is an abundant number, since it is smaller than the sum of its proper divisors (35329392).

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

13417488 is a wasteful number, since it uses less digits than its factorization.

13417488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 13417488 is about 3662.9889434723. The cubic root of 13417488 is about 237.6240563338.

The spelling of 13417488 in words is "thirteen million, four hundred seventeen thousand, four hundred eighty-eight".