257293020 has 24 divisors (see below), whose sum is σ = 720420624. Its totient is φ = 68611456.

The previous prime is 257293009. The next prime is 257293027. The reversal of 257293020 is 20392752.

It is a happy number.

257293020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

257293020 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257293027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144049 + ... + 2144168.

It is an arithmetic number, because the mean of its divisors is an integer number (30017526).

Almost surely, 2^257293020 is an apocalyptic number.

257293020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257293020 is an abundant number, since it is smaller than the sum of its proper divisors (463127604).

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

257293020 is a wasteful number, since it uses less digits than its factorization.

257293020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288229 (or 4288227 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 257293020 is about 16040.3559810872. The cubic root of 257293020 is about 636.0276579088.

The spelling of 257293020 in words is "two hundred fifty-seven million, two hundred ninety-three thousand, twenty".