56258000 has 80 divisors (see below), whose sum is σ = 142062336. Its totient is φ = 21507200.

The previous prime is 56257997. The next prime is 56258003. The reversal of 56258000 is 85265.

It is an interprime number because it is at equal distance from previous prime (56257997) and next prime (56258003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56258003) 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, 45389 + ... + 46611.

Almost surely, 2^56258000 is an apocalyptic number.

56258000 is a gapful number since it is divisible by the number (50) 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 56258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168).

56258000 is an abundant number, since it is smaller than the sum of its proper divisors (85804336).

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

56258000 is a wasteful number, since it uses less digits than its factorization.

56258000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 56258000 is about 7500.5333143717. The cubic root of 56258000 is about 383.1728797074.

It can be divided in two parts, 56 and 258000, that multiplied together give a triangular number (14448000 = T₅₃₇₅).

The spelling of 56258000 in words is "fifty-six million, two hundred fifty-eight thousand".