258420456 has 160 divisors (see below), whose sum is σ = 863533440. Its totient is φ = 70595712.

The previous prime is 258420443. The next prime is 258420457. The reversal of 258420456 is 654024852.

It is a happy number.

258420456 is a `hidden beast` number, since 2 + 584 + 20 + 4 + 56 = 666.

It is a super-2 number, since 2×258420456² = 133562264158495872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 258420456.

It is not an unprimeable number, because it can be changed into a prime (258420457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103090 + ... + 105566.

It is an arithmetic number, because the mean of its divisors is an integer number (5397084).

Almost surely, 2^258420456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258420456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431766720).

258420456 is an abundant number, since it is smaller than the sum of its proper divisors (605112984).

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

258420456 is a wasteful number, since it uses less digits than its factorization.

258420456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 258420456 is about 16075.4612997575. The cubic root of 258420456 is about 636.9553105203.

The spelling of 258420456 in words is "two hundred fifty-eight million, four hundred twenty thousand, four hundred fifty-six".