259453480 has 128 divisors (see below), whose sum is σ = 697092480. Its totient is φ = 85662720.

The previous prime is 259453451. The next prime is 259453499. The reversal of 259453480 is 84354952.

It is a super-2 number, since 2×259453480² = 134632216568220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382902 + ... + 383578.

It is an arithmetic number, because the mean of its divisors is an integer number (5446035).

Almost surely, 2^259453480 is an apocalyptic number.

259453480 is a gapful number since it is divisible by the number (20) 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 259453480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348546240).

259453480 is an abundant number, since it is smaller than the sum of its proper divisors (437639000).

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

259453480 is a wasteful number, since it uses less digits than its factorization.

259453480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 259453480 is about 16107.5597158601. The cubic root of 259453480 is about 637.8029153797.

The spelling of 259453480 in words is "two hundred fifty-nine million, four hundred fifty-three thousand, four hundred eighty".