1017480 has 64 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 264960.

The previous prime is 1017479. The next prime is 1017481. The reversal of 1017480 is 847101.

1017480 = T₄₇₁ + T₄₇₂ + ... + T₄₇₉.

It is an interprime number because it is at equal distance from previous prime (1017479) and next prime (1017481).

It is not an unprimeable number, because it can be changed into a prime (1017481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7251 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2^1017480 is an apocalyptic number.

1017480 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 1017480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1017480 is an abundant number, since it is smaller than the sum of its proper divisors (2107320).

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

1017480 is a wasteful number, since it uses less digits than its factorization.

1017480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1017480 is about 1008.7021364109. The cubic root of 1017480 is about 100.5793042521.

The spelling of 1017480 in words is "one million, seventeen thousand, four hundred eighty".